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57466890 = 23251349117
BaseRepresentation
bin1101101100111…
…0000000001010
311000010121202100
43123032000022
5104202420030
65411414230
71265313645
oct333160012
9130117670
1057466890
112a4907a8
12172b4376
13bba0ca0
1478bca5c
1550a2360
hex36ce00a

57466890 has 48 divisors (see below), whose sum is σ = 160910568. Its totient is φ = 14145408.

The previous prime is 57466873. The next prime is 57466907. The reversal of 57466890 is 9866475.

It is an interprime number because it is at equal distance from previous prime (57466873) and next prime (57466907).

It can be written as a sum of positive squares in 4 ways, for example, as 47900241 + 9566649 = 6921^2 + 3093^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 23389 + ... + 25728.

Almost surely, 257466890 is an apocalyptic number.

57466890 is an abundant number, since it is smaller than the sum of its proper divisors (103443678).

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

57466890 is a wasteful number, since it uses less digits than its factorization.

57466890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49143 (or 49140 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57466890 is about 7580.6919209265. The cubic root of 57466890 is about 385.8980329696.

The spelling of 57466890 in words is "fifty-seven million, four hundred sixty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 49117 98234 147351 245585 294702 442053 491170 638521 736755 884106 1277042 1473510 1915563 2210265 3192605 3831126 4420530 5746689 6385210 9577815 11493378 19155630 28733445 57466890