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80604225 = 325213171621
BaseRepresentation
bin1001100110111…
…10110001000001
312121200010012200
410303132301001
5131113313400
611555343413
71666060512
oct463366101
9177603180
1080604225
1141554169
1222bb1b69
1313912410
14a9c2a09
157122b00
hex4cdec41

80604225 has 72 divisors (see below), whose sum is σ = 164723832. Its totient is φ = 37324800.

The previous prime is 80604221. The next prime is 80604229. The reversal of 80604225 is 52240608.

It is an interprime number because it is at equal distance from previous prime (80604221) and next prime (80604229).

It can be written as a sum of positive squares in 12 ways, for example, as 14653584 + 65950641 = 3828^2 + 8121^2 .

It is not a de Polignac number, because 80604225 - 22 = 80604221 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80604221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48915 + ... + 50535.

It is an arithmetic number, because the mean of its divisors is an integer number (2287831).

Almost surely, 280604225 is an apocalyptic number.

80604225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

80604225 is an abundant number, since it is smaller than the sum of its proper divisors (84119607).

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

80604225 is a wasteful number, since it uses less digits than its factorization.

80604225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 80604225 is about 8977.9855758405. The cubic root of 80604225 is about 431.9690210553.

The spelling of 80604225 in words is "eighty million, six hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 325 425 585 663 765 975 1105 1275 1621 1989 2925 3315 3825 4863 5525 8105 9945 14589 16575 21073 24315 27557 40525 49725 63219 72945 82671 105365 121575 137785 189657 248013 316095 358241 364725 413355 526825 688925 948285 1074723 1240065 1580475 1791205 2066775 3224169 4741425 5373615 6200325 8956025 16120845 26868075 80604225