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641725056 = 2732779579
BaseRepresentation
bin100110001111111…
…111001010000000
31122201112000021200
4212033333022000
52303240200211
6143402221200
721621400350
oct4617771200
91581460250
10641725056
112aa267595
1215aab4800
13a2c4768b
1461328b60
153b510b56
hex263ff280

641725056 has 96 divisors (see below), whose sum is σ = 2110461600. Its totient is φ = 183347712.

The previous prime is 641725043. The next prime is 641725099. The reversal of 641725056 is 650527146.

It is a happy number.

641725056 is a `hidden beast` number, since 641 + 7 + 2 + 5 + 0 + 5 + 6 = 666.

641725056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6417250562 = 823622094996406272, which contains 22 as substring.

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 641725056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31726 + ... + 47853.

It is an arithmetic number, because the mean of its divisors is an integer number (21983975).

Almost surely, 2641725056 is an apocalyptic number.

It is an amenable number.

641725056 is an abundant number, since it is smaller than the sum of its proper divisors (1468736544).

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

641725056 is a wasteful number, since it uses less digits than its factorization.

641725056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79606 (or 79591 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 641725056 is about 25332.2927505585. The cubic root of 641725056 is about 862.5474564940.

The spelling of 641725056 in words is "six hundred forty-one million, seven hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 79579 159158 238737 318316 477474 557053 636632 716211 954948 1114106 1273264 1432422 1671159 1909896 2228212 2546528 2864844 3342318 3819792 4456424 5013477 5093056 5729688 6684636 7639584 8912848 10026954 10186112 11459376 13369272 15279168 17825696 20053908 22918752 26738544 30558336 35651392 40107816 45837504 53477088 71302784 80215632 91675008 106954176 160431264 213908352 320862528 641725056