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57460240 = 2452632731
BaseRepresentation
bin1101101100110…
…0011000010000
311000010021122001
43123030120100
5104202211430
65411323344
71265255365
oct333143020
9130107561
1057460240
112a486802
12172b0554
13bb9ac56
1478ba46c
1550a03ca
hex36cc610

57460240 has 40 divisors (see below), whose sum is σ = 134152128. Its totient is φ = 22888320.

The previous prime is 57460219. The next prime is 57460241. The reversal of 57460240 is 4206475.

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

It is a junction number, because it is equal to n+sod(n) for n = 57460199 and 57460208.

It is not an unprimeable number, because it can be changed into a prime (57460241) 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, 19675 + ... + 22405.

Almost surely, 257460240 is an apocalyptic number.

It is an amenable number.

57460240 is an abundant number, since it is smaller than the sum of its proper divisors (76691888).

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

57460240 is a wasteful number, since it uses less digits than its factorization.

57460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 57460240 is about 7580.2532939210. The cubic root of 57460240 is about 385.8831471753.

The spelling of 57460240 in words is "fifty-seven million, four hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 263 526 1052 1315 2104 2630 2731 4208 5260 5462 10520 10924 13655 21040 21848 27310 43696 54620 109240 218480 718253 1436506 2873012 3591265 5746024 7182530 11492048 14365060 28730120 57460240