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81676952 = 23743107317
BaseRepresentation
bin1001101111001…
…00101010011000
312200200121201022
410313210222120
5131402130302
612034342012
72011146140
oct467445230
9180617638
1081676952
1142117115
122342a908
1313bc9776
14abc1920
1572858a2
hex4de4a98

81676952 has 64 divisors (see below), whose sum is σ = 181336320. Its totient is φ = 33763968.

The previous prime is 81676949. The next prime is 81676981. The reversal of 81676952 is 25967618.

It is a super-2 number, since 2×816769522 = 13342248976020608, which contains 22 as substring.

Its product of digits (181440) is a multiple of the sum of its prime factors (480).

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 15 ways as a sum of consecutive naturals, for example, 257498 + ... + 257814.

It is an arithmetic number, because the mean of its divisors is an integer number (2833380).

Almost surely, 281676952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81676952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90668160).

81676952 is an abundant number, since it is smaller than the sum of its proper divisors (99659368).

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

81676952 is a wasteful number, since it uses less digits than its factorization.

81676952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 81676952 is about 9037.5301935872. The cubic root of 81676952 is about 433.8768790042.

It can be divided in two parts, 81676 and 952, that added together give a palindrome (82628).

The spelling of 81676952 in words is "eighty-one million, six hundred seventy-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 43 56 86 107 172 214 301 317 344 428 602 634 749 856 1204 1268 1498 2219 2408 2536 2996 4438 4601 5992 8876 9202 13631 17752 18404 27262 32207 33919 36808 54524 64414 67838 95417 109048 128828 135676 190834 237433 257656 271352 381668 474866 763336 949732 1458517 1899464 2917034 5834068 10209619 11668136 20419238 40838476 81676952