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76342752 = 2532265079
BaseRepresentation
bin1001000110011…
…10010111100000
312022122121120100
410203032113200
5124020432002
611324142400
71614621423
oct443162740
9168577510
1076342752
113a103492
1221697a00
1312a7c835
14a1d39ba
156a8011c
hex48ce5e0

76342752 has 36 divisors (see below), whose sum is σ = 217100520. Its totient is φ = 25447488.

The previous prime is 76342751. The next prime is 76342787. The reversal of 76342752 is 25724367.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (76342751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132252 + ... + 132827.

It is an arithmetic number, because the mean of its divisors is an integer number (6030570).

Almost surely, 276342752 is an apocalyptic number.

76342752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76342752 is an abundant number, since it is smaller than the sum of its proper divisors (140757768).

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

76342752 is a wasteful number, since it uses less digits than its factorization.

76342752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265095 (or 265084 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 76342752 is about 8737.4339482482. The cubic root of 76342752 is about 424.2181741768.

The spelling of 76342752 in words is "seventy-six million, three hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 265079 530158 795237 1060316 1590474 2120632 2385711 3180948 4241264 4771422 6361896 8482528 9542844 12723792 19085688 25447584 38171376 76342752