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90524960 = 2553118251
BaseRepresentation
bin1010110010101…
…00110100100000
320022100010220022
411121110310200
5141133244320
612552133012
72146310111
oct531246440
9208303808
1090524960
114710a819
1226397168
13159a6b86
14c046208
157e32325
hex5654d20

90524960 has 48 divisors (see below), whose sum is σ = 220776192. Its totient is φ = 35040000.

The previous prime is 90524887. The next prime is 90524963. The reversal of 90524960 is 6942509.

It is a self number, because there is not a number n which added to its sum of digits gives 90524960.

It is not an unprimeable number, because it can be changed into a prime (90524963) 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 7 ways as a sum of consecutive naturals, for example, 4166 + ... + 14085.

It is an arithmetic number, because the mean of its divisors is an integer number (4599504).

Almost surely, 290524960 is an apocalyptic number.

It is an amenable number.

90524960 is an abundant number, since it is smaller than the sum of its proper divisors (130251232).

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

90524960 is a wasteful number, since it uses less digits than its factorization.

90524960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18297 (or 18289 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 90524960 is about 9514.4605732537. The cubic root of 90524960 is about 449.0101038892.

The spelling of 90524960 in words is "ninety million, five hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 18251 36502 73004 91255 146008 182510 292016 365020 565781 584032 730040 1131562 1460080 2263124 2828905 2920160 4526248 5657810 9052496 11315620 18104992 22631240 45262480 90524960