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77630425 = 5241531429
BaseRepresentation
bin1001010000010…
…00101111011001
312102002000220221
410220020233121
5124333133200
611411520041
71631563525
oct450105731
9172060827
1077630425
113a902984
1221bb9021
1313110982
14a44ad85
156c3691a
hex4a08bd9

77630425 has 24 divisors (see below), whose sum is σ = 100540440. Its totient is φ = 59404800.

The previous prime is 77630393. The next prime is 77630431. The reversal of 77630425 is 52403677.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 52359696 + 25270729 = 7236^2 + 5027^2 .

It is not a de Polignac number, because 77630425 - 25 = 77630393 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 53611 + ... + 55039.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 277630425 is an apocalyptic number.

It is an amenable number.

77630425 is a deficient number, since it is larger than the sum of its proper divisors (22910015).

77630425 is a wasteful number, since it uses less digits than its factorization.

77630425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 77630425 is about 8810.8129590861. The cubic root of 77630425 is about 426.5899842524.

The spelling of 77630425 in words is "seventy-seven million, six hundred thirty thousand, four hundred twenty-five".

Divisors: 1 5 25 41 53 205 265 1025 1325 1429 2173 7145 10865 35725 54325 58589 75737 292945 378685 1464725 1893425 3105217 15526085 77630425