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90455232 = 26371737107
BaseRepresentation
bin1010110010000…
…11110011000000
320022012121020210
411121003303000
5141124031412
612550434120
72145566610
oct531036300
9208177223
1090455232
114707239a
1226362940
131598120a
14c028a40
157e1b83c
hex5643cc0

90455232 has 224 divisors, whose sum is σ = 300215808. Its totient is φ = 23445504.

The previous prime is 90455231. The next prime is 90455243. The reversal of 90455232 is 23255409.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 90455232.

It is not an unprimeable number, because it can be changed into a prime (90455231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 845323 + ... + 845429.

Almost surely, 290455232 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 90455232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150107904).

90455232 is an abundant number, since it is smaller than the sum of its proper divisors (209760576).

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

90455232 is a wasteful number, since it uses less digits than its factorization.

90455232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 90455232 is about 9510.7955503207. The cubic root of 90455232 is about 448.8947890317.

The spelling of 90455232 in words is "ninety million, four hundred fifty-five thousand, two hundred thirty-two".