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125798656 = 287012
BaseRepresentation
bin1110111111110…
…00100100000000
322202201020022111
413133320210000
5224201024111
620252145104
73055161634
oct737704400
9282636274
10125798656
1165012435
1236168194
13200a7399
14129c8dc4
15b09da21
hex77f8900

125798656 has 27 divisors (see below), whose sum is σ = 251464633. Its totient is φ = 62809600.

The previous prime is 125798641. The next prime is 125798669. The reversal of 125798656 is 656897521.

The square root of 125798656 is 11216.

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

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 17305600 = 10416^2 + 4160^2 .

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 179106 + ... + 179806.

Almost surely, 2125798656 is an apocalyptic number.

125798656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125798656 is the 11216-th square number.

It is an amenable number.

125798656 is a deficient number, since it is larger than the sum of its proper divisors (125665977).

125798656 is an frugal number, since it uses more digits than its factorization.

125798656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 703 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The cubic root of 125798656 is about 501.0626147666.

Multiplying 125798656 by its sum of digits (49), we get a square (6164134144 = 785122).

The spelling of 125798656 in words is "one hundred twenty-five million, seven hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 701 1402 2804 5608 11216 22432 44864 89728 179456 491401 982802 1965604 3931208 7862416 15724832 31449664 62899328 125798656