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76214672 = 2417377573
BaseRepresentation
bin1001000101011…
…11000110010000
312022102002212122
410202233012100
5124002332142
611321313412
71613546132
oct442570620
9168362778
1076214672
113a026236
1221635868
1312a36451
14a19d052
156a571d2
hex48af190

76214672 has 40 divisors (see below), whose sum is σ = 160599096. Its totient is φ = 34891776.

The previous prime is 76214669. The next prime is 76214687. The reversal of 76214672 is 27641267.

It can be written as a sum of positive squares in 4 ways, for example, as 62789776 + 13424896 = 7924^2 + 3664^2 .

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 7 ways as a sum of consecutive naturals, for example, 6278 + ... + 13850.

Almost surely, 276214672 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 76214672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80299548).

76214672 is an abundant number, since it is smaller than the sum of its proper divisors (84384424).

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

76214672 is a wasteful number, since it uses less digits than its factorization.

76214672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7629 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 76214672 is about 8730.1014885281. The cubic root of 76214672 is about 423.9808048745.

The spelling of 76214672 in words is "seventy-six million, two hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 5032 7573 10064 15146 30292 60584 121168 128741 257482 280201 514964 560402 1029928 1120804 2059856 2241608 4483216 4763417 9526834 19053668 38107336 76214672