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90901552 = 2471395839
BaseRepresentation
bin1010110101100…
…00110000110000
320100001021111011
411122300300300
5141232322202
613004200304
72152436050
oct532606060
9210037434
1090901552
1147347755
1226539094
1315aa9401
14c103560
157ea8bd7
hex56b0c30

90901552 has 40 divisors (see below), whose sum is σ = 202764800. Its totient is φ = 38670912.

The previous prime is 90901511. The next prime is 90901561. The reversal of 90901552 is 25510909.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12649 + ... + 18487.

It is an arithmetic number, because the mean of its divisors is an integer number (5069120).

Almost surely, 290901552 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 90901552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101382400).

90901552 is an abundant number, since it is smaller than the sum of its proper divisors (111863248).

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

90901552 is a wasteful number, since it uses less digits than its factorization.

90901552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 90901552 is about 9534.2305405313. The cubic root of 90901552 is about 449.6318833111.

The spelling of 90901552 in words is "ninety million, nine hundred one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 973 1112 1946 2224 3892 5839 7784 11678 15568 23356 40873 46712 81746 93424 163492 326984 653968 811621 1623242 3246484 5681347 6492968 11362694 12985936 22725388 45450776 90901552