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5076279072 = 25343136257
BaseRepresentation
bin1001011101001000…
…11101111100100000
3111002202220200210000
410232210131330200
540344011412242
62155414140000
7236536442304
oct45644357440
914082820700
105076279072
112175477667
12b98051600
1362b8b8437
14362279d04
151ea9c2a4c
hex12e91df20

5076279072 has 120 divisors (see below), whose sum is σ = 14979286476. Its totient is φ = 1686417408.

The previous prime is 5076279059. The next prime is 5076279073. The reversal of 5076279072 is 2709726705.

5076279072 is a `hidden beast` number, since 507 + 6 + 2 + 79 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5075707536 + 571536 = 71244^2 + 756^2 .

It is not an unprimeable number, because it can be changed into a prime (5076279073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 808168 + ... + 814424.

Almost surely, 25076279072 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 5076279072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489643238).

5076279072 is an abundant number, since it is smaller than the sum of its proper divisors (9903007404).

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

5076279072 is a wasteful number, since it uses less digits than its factorization.

5076279072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6592 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 5076279072 is about 71248.0110038168. The cubic root of 5076279072 is about 1718.6277896277.

The spelling of 5076279072 in words is "five billion, seventy-six million, two hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 313 324 432 626 648 864 939 1252 1296 1878 2504 2592 2817 3756 5008 5634 6257 7512 8451 10016 11268 12514 15024 16902 18771 22536 25028 25353 30048 33804 37542 45072 50056 50706 56313 67608 75084 90144 100112 101412 112626 135216 150168 168939 200224 202824 225252 270432 300336 337878 405648 450504 506817 600672 675756 811296 901008 1013634 1351512 1802016 1958441 2027268 2703024 3916882 4054536 5406048 5875323 7833764 8109072 11750646 15667528 16218144 17625969 23501292 31335056 35251938 47002584 52877907 62670112 70503876 94005168 105755814 141007752 158633721 188010336 211511628 282015504 317267442 423023256 564031008 634534884 846046512 1269069768 1692093024 2538139536 5076279072