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4410125856 = 253217900761
BaseRepresentation
bin1000001101101110…
…10010111000100000
3102101100102121100200
410012313102320200
533012443011411
62005340145200
7214200310533
oct40667227040
912340377320
104410125856
111963445914
12a30b38200
13553899c36
142db9d2a1a
151ac288e56
hex106dd2e20

4410125856 has 72 divisors (see below), whose sum is σ = 13279033404. Its totient is φ = 1383567360.

The previous prime is 4410125851. The next prime is 4410125857. The reversal of 4410125856 is 6585210144.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3735165456 + 674960400 = 61116^2 + 25980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4410125856.

It is not an unprimeable number, because it can be changed into a prime (4410125851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445485 + ... + 455276.

Almost surely, 24410125856 is an apocalyptic number.

It is an amenable number.

4410125856 is an abundant number, since it is smaller than the sum of its proper divisors (8868907548).

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

4410125856 is a wasteful number, since it uses less digits than its factorization.

4410125856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900794 (or 900783 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4410125856 is about 66408.7784558638. The cubic root of 4410125856 is about 1639.8985977359.

The spelling of 4410125856 in words is "four billion, four hundred ten million, one hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 900761 1801522 2702283 3603044 5404566 7206088 8106849 10809132 14412176 15312937 16213698 21618264 28824352 30625874 32427396 43236528 45938811 61251748 64854792 86473056 91877622 122503496 129709584 137816433 183755244 245006992 259419168 275632866 367510488 490013984 551265732 735020976 1102531464 1470041952 2205062928 4410125856