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75697056 = 25321715461
BaseRepresentation
bin1001000001100…
…00101110100000
312021102210211200
410200300232200
5123334301211
611302241200
71606262061
oct440605640
9167383750
1075697056
1139802356
1221426200
13128b4976
14a0a6568
1569a3b56
hex4830ba0

75697056 has 72 divisors (see below), whose sum is σ = 227940804. Its totient is φ = 23746560.

The previous prime is 75697033. The next prime is 75697067. The reversal of 75697056 is 65079657.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75690000 + 7056 = 8700^2 + 84^2 .

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

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, 2835 + ... + 12626.

Almost surely, 275697056 is an apocalyptic number.

It is an amenable number.

75697056 is an abundant number, since it is smaller than the sum of its proper divisors (152243748).

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

75697056 is a wasteful number, since it uses less digits than its factorization.

75697056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15494 (or 15483 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 75697056 is about 8700.4055077910. The cubic root of 75697056 is about 423.0187943295.

It can be divided in two parts, 7569 and 7056, that multiplied together give a square (53406864 = 73082).

The spelling of 75697056 in words is "seventy-five million, six hundred ninety-seven thousand, 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 15461 30922 46383 61844 92766 123688 139149 185532 247376 262837 278298 371064 494752 525674 556596 742128 788511 1051348 1113192 1484256 1577022 2102696 2226384 2365533 3154044 4205392 4452768 4731066 6308088 8410784 9462132 12616176 18924264 25232352 37848528 75697056