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90557472 = 253943307
BaseRepresentation
bin1010110010111…
…00110000100000
320022101210111110
411121130300200
5141140314342
612552543320
72146503645
oct531346040
9208353443
1090557472
1147132195
12263b1b40
13159b8905
14c053dcc
157e3bc9c
hex565cc20

90557472 has 24 divisors (see below), whose sum is σ = 237713616. Its totient is φ = 30185792.

The previous prime is 90557471. The next prime is 90557501. The reversal of 90557472 is 27475509.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90557472.

It is not an unprimeable number, because it can be changed into a prime (90557471) 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 3 ways as a sum of consecutive naturals, for example, 471558 + ... + 471749.

It is an arithmetic number, because the mean of its divisors is an integer number (9904734).

Almost surely, 290557472 is an apocalyptic number.

It is an amenable number.

90557472 is an abundant number, since it is smaller than the sum of its proper divisors (147156144).

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

90557472 is a wasteful number, since it uses less digits than its factorization.

90557472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943320 (or 943312 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 90557472 is about 9516.1689770621. The cubic root of 90557472 is about 449.0638513830.

The spelling of 90557472 in words is "ninety million, five hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 943307 1886614 2829921 3773228 5659842 7546456 11319684 15092912 22639368 30185824 45278736 90557472