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90213604 = 221389101193
BaseRepresentation
bin1010110000010…
…00110011100100
320021202022210121
411120020303210
5141043313404
612541331324
72143542265
oct530106344
9207668717
1090213604
1146a178a8
1226266b44
13158c8240
14bda496c
157dbee54
hex5608ce4

90213604 has 48 divisors (see below), whose sum is σ = 174530160. Its totient is φ = 40550400.

The previous prime is 90213601. The next prime is 90213661. The reversal of 90213604 is 40631209.

It can be written as a sum of positive squares in 8 ways, for example, as 3686400 + 86527204 = 1920^2 + 9302^2 .

It is not an unprimeable number, because it can be changed into a prime (90213601) 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 15 ways as a sum of consecutive naturals, for example, 467332 + ... + 467524.

It is an arithmetic number, because the mean of its divisors is an integer number (3636045).

Almost surely, 290213604 is an apocalyptic number.

It is an amenable number.

90213604 is a deficient number, since it is larger than the sum of its proper divisors (84316556).

90213604 is a wasteful number, since it uses less digits than its factorization.

90213604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 90213604 is about 9498.0842278851. The cubic root of 90213604 is about 448.4947300907.

The spelling of 90213604 in words is "ninety million, two hundred thirteen thousand, six hundred four".

Divisors: 1 2 4 13 26 52 89 101 178 193 202 356 386 404 772 1157 1313 2314 2509 2626 4628 5018 5252 8989 10036 17177 17978 19493 34354 35956 38986 68708 77972 116857 223301 233714 253409 446602 467428 506818 893204 1013636 1734877 3469754 6939508 22553401 45106802 90213604