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90332736 = 2631336191
BaseRepresentation
bin1010110001001…
…01111001000000
320021222101012220
411120211321000
5141111121421
612544051040
72144546514
oct530457100
9207871186
1090332736
1146a9935a
1226303a80
131593a530
14bdd6144
157de53c6
hex5625e40

90332736 has 56 divisors (see below), whose sum is σ = 257397504. Its totient is φ = 27793920.

The previous prime is 90332719. The next prime is 90332741. The reversal of 90332736 is 63723309.

It is a junction number, because it is equal to n+sod(n) for n = 90332697 and 90332706.

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, 15600 + ... + 20591.

It is an arithmetic number, because the mean of its divisors is an integer number (4596384).

Almost surely, 290332736 is an apocalyptic number.

90332736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90332736 is an abundant number, since it is smaller than the sum of its proper divisors (167064768).

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

90332736 is a wasteful number, since it uses less digits than its factorization.

90332736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36219 (or 36209 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 90332736 is about 9504.3535287783. The cubic root of 90332736 is about 448.6920638627.

The spelling of 90332736 in words is "ninety million, three hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 36191 72382 108573 144764 217146 289528 434292 470483 579056 868584 940966 1158112 1411449 1737168 1881932 2316224 2822898 3474336 3763864 5645796 6948672 7527728 11291592 15055456 22583184 30110912 45166368 90332736