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76427631 = 36717881
BaseRepresentation
bin1001000111000…
…11000101101111
312022210221000000
410203203011233
5124031141011
611330035343
71615424040
oct443430557
9168727000
1076427631
113a161235
1221718b53
1312aac367
14a2168c7
156a9a356
hex48e316f

76427631 has 56 divisors (see below), whose sum is σ = 138819744. Its totient is φ = 41057280.

The previous prime is 76427599. The next prime is 76427647. The reversal of 76427631 is 13672467.

76427631 is a `hidden beast` number, since 7 + 642 + 7 + 6 + 3 + 1 = 666.

It is not a de Polignac number, because 76427631 - 25 = 76427599 is a prime.

It is a super-2 number, since 2×764276312 = 11682365560544322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76427831) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 86311 + ... + 87191.

It is an arithmetic number, because the mean of its divisors is an integer number (2478924).

Almost surely, 276427631 is an apocalyptic number.

76427631 is a deficient number, since it is larger than the sum of its proper divisors (62392113).

76427631 is an equidigital number, since it uses as much as digits as its factorization.

76427631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 908 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 76427631 is about 8742.2898030207. The cubic root of 76427631 is about 424.3753332926.

The spelling of 76427631 in words is "seventy-six million, four hundred twenty-seven thousand, six hundred thirty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 243 357 459 567 729 881 1071 1377 1701 2643 3213 4131 5103 6167 7929 9639 12393 14977 18501 23787 28917 44931 55503 71361 86751 104839 134793 166509 214083 314517 404379 499527 642249 943551 1213137 1498581 2830653 3639411 4495743 8491959 10918233 25475877 76427631