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76042876 = 227132331293
BaseRepresentation
bin1001000100001…
…01001001111100
312022002101012211
410202011021330
5123431333001
611313510204
71612232230
oct442051174
9168071184
1076042876
1139a19158
1221572364
13129a61b0
14a1565c0
156a21351
hex488527c

76042876 has 96 divisors (see below), whose sum is σ = 177020928. Its totient is φ = 27751680.

The previous prime is 76042873. The next prime is 76042891. The reversal of 76042876 is 67824067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76042873) 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 31 ways as a sum of consecutive naturals, for example, 259386 + ... + 259678.

It is an arithmetic number, because the mean of its divisors is an integer number (1843968).

Almost surely, 276042876 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 76042876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88510464).

76042876 is an abundant number, since it is smaller than the sum of its proper divisors (100978052).

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

76042876 is a wasteful number, since it uses less digits than its factorization.

76042876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 76042876 is about 8720.2566475993. The cubic root of 76042876 is about 423.6619992279.

The spelling of 76042876 in words is "seventy-six million, forty-two thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 13 14 23 26 28 31 46 52 62 91 92 124 161 182 217 293 299 322 364 403 434 586 598 644 713 806 868 1172 1196 1426 1612 2051 2093 2821 2852 3809 4102 4186 4991 5642 6739 7618 8204 8372 9083 9269 9982 11284 13478 15236 18166 18538 19964 26663 26956 36332 37076 47173 53326 63581 64883 87607 94346 106652 118079 127162 129766 175214 188692 208909 236158 254324 259532 350428 417818 472316 613249 826553 835636 1226498 1462363 1653106 2452996 2715817 2924726 3306212 5431634 5849452 10863268 19010719 38021438 76042876