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76630884 = 223113161307
BaseRepresentation
bin1001001000101…
…00101101100100
312100012020210220
410210110231210
5124104142014
611334244340
71620231441
oct444245544
9170166726
1076630884
113a28aa10
12217b66b0
1312b50a25
14a26a9c8
156ada6a9
hex4914b64

76630884 has 96 divisors (see below), whose sum is σ = 205320192. Its totient is φ = 22032000.

The previous prime is 76630831. The next prime is 76630891. The reversal of 76630884 is 48803667.

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 31 ways as a sum of consecutive naturals, for example, 249459 + ... + 249765.

It is an arithmetic number, because the mean of its divisors is an integer number (2138752).

Almost surely, 276630884 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 76630884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102660096).

76630884 is an abundant number, since it is smaller than the sum of its proper divisors (128689308).

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

76630884 is a wasteful number, since it uses less digits than its factorization.

76630884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 76630884 is about 8753.9067849732. The cubic root of 76630884 is about 424.7511973968.

The spelling of 76630884 in words is "seventy-six million, six hundred thirty thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 61 62 66 93 122 124 132 183 186 244 307 341 366 372 614 671 682 732 921 1023 1228 1342 1364 1842 1891 2013 2046 2684 3377 3684 3782 4026 4092 5673 6754 7564 8052 9517 10131 11346 13508 18727 19034 20262 20801 22692 28551 37454 38068 40524 41602 56181 57102 62403 74908 83204 104687 112362 114204 124806 205997 209374 224724 249612 314061 411994 418748 580537 617991 628122 823988 1161074 1235982 1256244 1741611 2322148 2471964 3483222 6385907 6966444 12771814 19157721 25543628 38315442 76630884