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76429968 = 2433175023
BaseRepresentation
bin1001000111000…
…11101010010000
312022211001012120
410203203222100
5124031224333
611330054240
71615433616
oct443435220
9168731176
1076429968
113a162a6a
122171a380
1312ab0444
14a2176b6
156a9adb3
hex48e3a90

76429968 has 40 divisors (see below), whose sum is σ = 198106368. Its totient is φ = 25391232.

The previous prime is 76429961. The next prime is 76429979. The reversal of 76429968 is 86992467.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 76429968.

It is not an unprimeable number, because it can be changed into a prime (76429961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12705 + ... + 17727.

Almost surely, 276429968 is an apocalyptic number.

It is an amenable number.

76429968 is an abundant number, since it is smaller than the sum of its proper divisors (121676400).

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

76429968 is a wasteful number, since it uses less digits than its factorization.

76429968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5345 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 76429968 is about 8742.4234626332. The cubic root of 76429968 is about 424.3796587572.

The spelling of 76429968 in words is "seventy-six million, four hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 317 634 951 1268 1902 2536 3804 5023 5072 7608 10046 15069 15216 20092 30138 40184 60276 80368 120552 241104 1592291 3184582 4776873 6369164 9553746 12738328 19107492 25476656 38214984 76429968