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90985952 = 2510726573
BaseRepresentation
bin1010110110001…
…01010111100000
320100012120021002
411123011113200
5141243022302
613010051132
72153240111
oct533052740
9210176232
1090985952
11473a5102
1226579aa8
1315b08955
14c126208
157ec3c02
hex56c55e0

90985952 has 24 divisors (see below), whose sum is σ = 180809496. Its totient is φ = 45066112.

The previous prime is 90985891. The next prime is 90985957. The reversal of 90985952 is 25958909.

It is a super-2 number, since 2×909859522 = 16556886922692608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90985897 and 90985906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90985957) 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 3 ways as a sum of consecutive naturals, for example, 9863 + ... + 16710.

It is an arithmetic number, because the mean of its divisors is an integer number (7533729).

Almost surely, 290985952 is an apocalyptic number.

It is an amenable number.

90985952 is a deficient number, since it is larger than the sum of its proper divisors (89823544).

90985952 is a wasteful number, since it uses less digits than its factorization.

90985952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26690 (or 26682 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 47.

The square root of 90985952 is about 9538.6556704810. The cubic root of 90985952 is about 449.7709978854.

The spelling of 90985952 in words is "ninety million, nine hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 107 214 428 856 1712 3424 26573 53146 106292 212584 425168 850336 2843311 5686622 11373244 22746488 45492976 90985952