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7256313856 = 212116
BaseRepresentation
bin1101100001000001…
…01001000000000000
3200201201000221022001
412300200221000000
5104330104020411
63200011553344
7344550435661
oct66040510000
920651027261
107256313856
113094000000
1214a615b854
138b844944c
144cb9db368
152c7098dc1
hex1b0829000

7256313856 has 91 divisors (see below), whose sum is σ = 15961940947. Its totient is φ = 3298324480.

The previous prime is 7256313853. The next prime is 7256313877. The reversal of 7256313856 is 6583136527.

The square root of 7256313856 is 85184.

The cubic root of 7256313856 is 1936.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (907200) is a multiple of the sum of its prime factors (90).

It is not an unprimeable number, because it can be changed into a prime (7256313853) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 659664891 + ... + 659664901.

Almost surely, 27256313856 is an apocalyptic number.

7256313856 is the 85184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7256313856

7256313856 is an abundant number, since it is smaller than the sum of its proper divisors (8705627091).

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

7256313856 is an frugal number, since it uses more digits than its factorization.

7256313856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 13 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The spelling of 7256313856 in words is "seven billion, two hundred fifty-six million, three hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1331 1408 1936 2048 2662 2816 3872 4096 5324 5632 7744 10648 11264 14641 15488 21296 22528 29282 30976 42592 45056 58564 61952 85184 117128 123904 161051 170368 234256 247808 322102 340736 468512 495616 644204 681472 937024 1288408 1362944 1771561 1874048 2576816 2725888 3543122 3748096 5153632 5451776 7086244 7496192 10307264 14172488 14992384 20614528 28344976 29984768 41229056 56689952 59969536 82458112 113379904 164916224 226759808 329832448 453519616 659664896 907039232 1814078464 3628156928 7256313856