Search a number
-
+
5925920400 = 24325212832
BaseRepresentation
bin1011000010011011…
…00101111010010000
3120021222122221120100
411201031211322100
544114013423100
62420005012400
7266564330601
oct54115457220
916258587510
105925920400
112571033784
1211946b4100
1373592c39a
14403047da8
1524a3a3400
hex161365e90

5925920400 has 135 divisors (see below), whose sum is σ = 20580630889. Its totient is φ = 1579013760.

The previous prime is 5925920383. The next prime is 5925920423. The reversal of 5925920400 is 40295295.

It is a happy number.

The square root of 5925920400 is 76980.

It is a perfect power (a square), and thus also a powerful number.

5925920400 is a `hidden beast` number, since 592 + 5 + 9 + 20 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2133331344 + 3792589056 = 46188^2 + 61584^2 .

It is a super-3 number, since 3×59259204003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4618159 + ... + 4619441.

Almost surely, 25925920400 is an apocalyptic number.

5925920400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5925920400 is the 76980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5925920400

5925920400 is an abundant number, since it is smaller than the sum of its proper divisors (14654710489).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5925920400 is a wasteful number, since it uses less digits than its factorization.

5925920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 5925920400 is about 1809.6111819088.

Multiplying 5925920400 by its sum of digits (36), we get a square (213333134400 = 4618802).

5925920400 divided by its sum of digits (36) gives a square (164608900 = 128302).

Multiplying 5925920400 by its product of nonzero digits (32400), we get a square (191999820960000 = 138564002).

The spelling of 5925920400 in words is "five billion, nine hundred twenty-five million, nine hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1283 1800 2566 3600 3849 5132 6415 7698 10264 11547 12830 15396 19245 20528 23094 25660 30792 32075 38490 46188 51320 57735 61584 64150 76980 92376 96225 102640 115470 128300 153960 184752 192450 230940 256600 288675 307920 384900 461880 513200 577350 769800 923760 1154700 1539600 1646089 2309400 3292178 4618800 4938267 6584356 8230445 9876534 13168712 14814801 16460890 19753068 24691335 26337424 29629602 32921780 39506136 41152225 49382670 59259204 65843560 74074005 79012272 82304450 98765340 118518408 123456675 131687120 148148010 164608900 197530680 237036816 246913350 296296020 329217800 370370025 395061360 493826700 592592040 658435600 740740050 987653400 1185184080 1481480100 1975306800 2962960200 5925920400