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76125564 = 223216312973
BaseRepresentation
bin1001000100110…
…01010101111100
312022020120122100
410202121111330
5123442004224
611315345100
71613025264
oct442312574
9168216570
1076125564
1139a75299
12215b2190
1312a04a18
14a1787a4
156a3aac9
hex489957c

76125564 has 36 divisors (see below), whose sum is σ = 193623976. Its totient is φ = 25217568.

The previous prime is 76125559. The next prime is 76125587. The reversal of 76125564 is 46552167.

It is a happy number.

76125564 is a `hidden beast` number, since 76 + 1 + 25 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 619 + ... + 12354.

Almost surely, 276125564 is an apocalyptic number.

It is an amenable number.

76125564 is an abundant number, since it is smaller than the sum of its proper divisors (117498412).

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

76125564 is a wasteful number, since it uses less digits than its factorization.

76125564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13146 (or 13141 counting only the distinct ones).

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

The square root of 76125564 is about 8724.9965042973. The cubic root of 76125564 is about 423.8155050534.

The spelling of 76125564 in words is "seventy-six million, one hundred twenty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 978 1467 1956 2934 5868 12973 25946 38919 51892 77838 116757 155676 233514 467028 2114599 4229198 6343797 8458396 12687594 19031391 25375188 38062782 76125564