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76630914 = 2331923931
BaseRepresentation
bin1001001000101…
…00101110000010
312100012020212000
410210110232002
5124104142124
611334244430
71620231513
oct444245602
9170166760
1076630914
113a28aa38
12217b6716
1312b50a49
14a26aa0a
156ada6c9
hex4914b82

76630914 has 48 divisors (see below), whose sum is σ = 179771040. Its totient is φ = 24193080.

The previous prime is 76630903. The next prime is 76630969. The reversal of 76630914 is 41903667.

76630914 is a `hidden beast` number, since 7 + 6 + 630 + 9 + 14 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17529 + ... + 21459.

It is an arithmetic number, because the mean of its divisors is an integer number (3745230).

Almost surely, 276630914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76630914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89885520).

76630914 is an abundant number, since it is smaller than the sum of its proper divisors (103140126).

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

76630914 is a wasteful number, since it uses less digits than its factorization.

76630914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 76630914 is about 8753.9084984937. The cubic root of 76630914 is about 424.7512528250.

The spelling of 76630914 in words is "seventy-six million, six hundred thirty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 3249 3931 6498 7862 9747 11793 19494 23586 35379 70758 74689 106137 149378 212274 224067 448134 672201 1344402 1419091 2016603 2838182 4033206 4257273 8514546 12771819 25543638 38315457 76630914