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90418965 = 3572139463
BaseRepresentation
bin1010110001110…
…10111100010101
320022010202111120
411120322330111
5141121401330
612545554153
72145356100
oct530727425
9208122446
1090418965
114704811a
1226345959
131596a860
14c019737
157e10c10
hex563af15

90418965 has 48 divisors (see below), whose sum is σ = 181254528. Its totient is φ = 38150784.

The previous prime is 90418963. The next prime is 90419027. The reversal of 90418965 is 56981409.

It is not a de Polignac number, because 90418965 - 21 = 90418963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90418961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4824 + ... + 14286.

It is an arithmetic number, because the mean of its divisors is an integer number (3776136).

Almost surely, 290418965 is an apocalyptic number.

It is an amenable number.

90418965 is an abundant number, since it is smaller than the sum of its proper divisors (90835563).

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

90418965 is a wasteful number, since it uses less digits than its factorization.

90418965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 90418965 is about 9508.8887363351. Note that the first 3 decimals coincide. The cubic root of 90418965 is about 448.8347879195.

The spelling of 90418965 in words is "ninety million, four hundred eighteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9463 9555 28389 47315 66241 123019 141945 198723 331205 369057 463687 615095 861133 993615 1391061 1845285 2318435 2583399 4305665 6027931 6955305 12916995 18083793 30139655 90418965