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76869128 = 23723371613
BaseRepresentation
bin1001001010011…
…10111000001000
312100122100121202
410211032320020
5124134303003
611343323332
71622243150
oct445167010
9170570552
1076869128
113a432a06
12218b0548
1312c052bb
14a2cd760
156b36088
hex494ee08

76869128 has 64 divisors (see below), whose sum is σ = 176636160. Its totient is φ = 30640896.

The previous prime is 76869113. The next prime is 76869139. The reversal of 76869128 is 82196867.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46850 + ... + 48462.

It is an arithmetic number, because the mean of its divisors is an integer number (2759940).

Almost surely, 276869128 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 76869128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88318080).

76869128 is an abundant number, since it is smaller than the sum of its proper divisors (99767032).

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

76869128 is a wasteful number, since it uses less digits than its factorization.

76869128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 76869128 is about 8767.5040918154. The cubic root of 76869128 is about 425.1909232151.

It can be divided in two parts, 768 and 69128, that added together give a palindrome (69896).

The spelling of 76869128 in words is "seventy-six million, eight hundred sixty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 37 46 56 74 92 148 161 184 259 296 322 518 644 851 1036 1288 1613 1702 2072 3226 3404 5957 6452 6808 11291 11914 12904 22582 23828 37099 45164 47656 59681 74198 90328 119362 148396 238724 259693 296792 417767 477448 519386 835534 1038772 1372663 1671068 2077544 2745326 3342136 5490652 9608641 10981304 19217282 38434564 76869128