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5424731200 = 26527269193
BaseRepresentation
bin1010000110101011…
…01101010001000000
3112000001120220020101
411003111231101000
542102212344300
62254142452144
7251300311600
oct50325552100
915001526211
105424731200
112334134929
121074894054
13685b4bc25
14396662c00
1521b3a2b6a
hex14356d440

5424731200 has 126 divisors (see below), whose sum is σ = 15527756346. Its totient is φ = 1859880960.

The previous prime is 5424731189. The next prime is 5424731201. The reversal of 5424731200 is 21374245.

It can be written as a sum of positive squares in 3 ways, for example, as 695693376 + 4729037824 = 26376^2 + 68768^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5424731201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43804 + ... + 112996.

Almost surely, 25424731200 is an apocalyptic number.

5424731200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5424731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763878173).

5424731200 is an abundant number, since it is smaller than the sum of its proper divisors (10103025146).

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

5424731200 is a wasteful number, since it uses less digits than its factorization.

5424731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69229 (or 69207 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5424731200 is about 73652.7745573784. The cubic root of 5424731200 is about 1757.0848781501.

The spelling of 5424731200 in words is "five billion, four hundred twenty-four million, seven hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 700 784 800 980 1120 1225 1400 1568 1600 1960 2240 2450 2800 3136 3920 4900 5600 7840 9800 11200 15680 19600 39200 69193 78400 138386 276772 345965 484351 553544 691930 968702 1107088 1383860 1729825 1937404 2214176 2421755 2767720 3390457 3459650 3874808 4428352 4843510 5535440 6780914 6919300 7749616 9687020 11070880 12108775 13561828 13838600 15499232 16952285 19374040 22141760 24217550 27123656 27677200 30998464 33904570 38748080 48435100 54247312 55354400 67809140 77496160 84761425 96870200 108494624 110708800 135618280 154992320 169522850 193740400 216989248 271236560 339045700 387480800 542473120 678091400 774961600 1084946240 1356182800 2712365600 5424731200