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90365904 = 2432627541
BaseRepresentation
bin1010110001011…
…01111111010000
320022001001201100
411120231333100
5141113202104
612544504400
72145045306
oct530557720
9208031640
1090365904
1147011272
122631b100
131594c665
14c004276
157e00139
hex562dfd0

90365904 has 30 divisors (see below), whose sum is σ = 252899426. Its totient is φ = 30121920.

The previous prime is 90365861. The next prime is 90365909. The reversal of 90365904 is 40956309.

It can be written as a sum of positive squares in only one way, i.e., 76527504 + 13838400 = 8748^2 + 3720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90365909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 313627 + ... + 313914.

Almost surely, 290365904 is an apocalyptic number.

It is an amenable number.

90365904 is an abundant number, since it is smaller than the sum of its proper divisors (162533522).

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

90365904 is a wasteful number, since it uses less digits than its factorization.

90365904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627555 (or 627546 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 90365904 is about 9506.0982532267. The cubic root of 90365904 is about 448.7469734409.

The spelling of 90365904 in words is "ninety million, three hundred sixty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 627541 1255082 1882623 2510164 3765246 5020328 5647869 7530492 10040656 11295738 15060984 22591476 30121968 45182952 90365904