Search a number
-
+
5477362240 = 26572984319
BaseRepresentation
bin1010001100111100…
…11110101001000000
3112010201121211110011
411012132132221000
542204201042430
62303302514304
7252506545060
oct50636365100
915121554404
105477362240
112360912359
12108a435994
13693a18a5c
1439d6433a0
15220cec22a
hex14679ea40

5477362240 has 112 divisors (see below), whose sum is σ = 15420441600. Its totient is φ = 1813174272.

The previous prime is 5477362201. The next prime is 5477362273. The reversal of 5477362240 is 422637745.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5477362193 and 5477362202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22801 + ... + 107119.

Almost surely, 25477362240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5477362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710220800).

5477362240 is an abundant number, since it is smaller than the sum of its proper divisors (9943079360).

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

5477362240 is a wasteful number, since it uses less digits than its factorization.

5477362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84372 (or 84362 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The square root of 5477362240 is about 74009.2037519659. The cubic root of 5477362240 is about 1762.7490440964.

Adding to 5477362240 its reverse (422637745), we get a palindrome (5899999985).

The spelling of 5477362240 in words is "five billion, four hundred seventy-seven million, three hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 464 560 580 812 928 1015 1120 1160 1624 1856 2030 2240 2320 3248 4060 4640 6496 8120 9280 12992 16240 32480 64960 84319 168638 337276 421595 590233 674552 843190 1180466 1349104 1686380 2360932 2445251 2698208 2951165 3372760 4721864 4890502 5396416 5902330 6745520 9443728 9781004 11804660 12226255 13491040 17116757 18887456 19562008 23609320 24452510 26982080 34233514 37774912 39124016 47218640 48905020 68467028 78248032 85583785 94437280 97810040 136934056 156496064 171167570 188874560 195620080 273868112 342335140 391240160 547736224 684670280 782480320 1095472448 1369340560 2738681120 5477362240