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76861356 = 223111347953
BaseRepresentation
bin1001001010011…
…00111110101100
312100121221221220
410211030332230
5124134030411
611343223340
71622211405
oct445147654
9170557856
1076861356
113a428090
12218a7b50
1312c018c0
14a2ca9ac
156b33b06
hex494cfac

76861356 has 96 divisors (see below), whose sum is σ = 215405568. Its totient is φ = 21020160.

The previous prime is 76861333. The next prime is 76861363. The reversal of 76861356 is 65316867.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80176 + ... + 81128.

It is an arithmetic number, because the mean of its divisors is an integer number (2243808).

Almost surely, 276861356 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 76861356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107702784).

76861356 is an abundant number, since it is smaller than the sum of its proper divisors (138544212).

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

76861356 is a wasteful number, since it uses less digits than its factorization.

76861356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 76861356 is about 8767.0608529883. The cubic root of 76861356 is about 425.1765928186.

The spelling of 76861356 in words is "seventy-six million, eight hundred sixty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 47 52 66 78 94 132 141 143 156 188 282 286 429 517 564 572 611 858 953 1034 1222 1551 1716 1833 1906 2068 2444 2859 3102 3666 3812 5718 6204 6721 7332 10483 11436 12389 13442 20163 20966 24778 26884 31449 37167 40326 41932 44791 49556 62898 74334 80652 89582 125796 134373 136279 148668 179164 268746 272558 408837 492701 537492 545116 582283 817674 985402 1164566 1478103 1635348 1746849 1970804 2329132 2956206 3493698 5912412 6405113 6987396 12810226 19215339 25620452 38430678 76861356