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90485040 = 2435377021
BaseRepresentation
bin1010110010010…
…11000100110000
320022021010010210
411121023010300
5141131010130
612551224120
72146052532
oct531130460
9208233123
1090485040
1147092828
1226378040
1315991959
14c035852
157e255b0
hex564b130

90485040 has 40 divisors (see below), whose sum is σ = 280504368. Its totient is φ = 24129280.

The previous prime is 90485039. The next prime is 90485051. The reversal of 90485040 is 4058409.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 90484989 and 90485007.

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, 188271 + ... + 188750.

Almost surely, 290485040 is an apocalyptic number.

It is an amenable number.

90485040 is an abundant number, since it is smaller than the sum of its proper divisors (190019328).

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

90485040 is a wasteful number, since it uses less digits than its factorization.

90485040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377037 (or 377031 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 90485040 is about 9512.3624825802. The cubic root of 90485040 is about 448.9440921918.

The spelling of 90485040 in words is "ninety million, four hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 377021 754042 1131063 1508084 1885105 2262126 3016168 3770210 4524252 5655315 6032336 7540420 9048504 11310630 15080840 18097008 22621260 30161680 45242520 90485040