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57280716 = 22331792963
BaseRepresentation
bin1101101010000…
…0100011001100
310222210011101000
43122200203030
5104130440331
65403420300
71263610113
oct332404314
9128704330
1057280716
112a373939
1217224690
13bb3731c
147870c7a
1550670e6
hex36a08cc

57280716 has 48 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 18980496.

The previous prime is 57280711. The next prime is 57280721. The reversal of 57280716 is 61708275.

57280716 is a `hidden beast` number, since 572 + 80 + 7 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (57280711) and next prime (57280721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57280711) 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, 17851 + ... + 20813.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 257280716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57280716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

57280716 is an abundant number, since it is smaller than the sum of its proper divisors (92104884).

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

57280716 is a wasteful number, since it uses less digits than its factorization.

57280716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 57280716 is about 7568.4024734418. The cubic root of 57280716 is about 385.4808541719.

The spelling of 57280716 in words is "fifty-seven million, two hundred eighty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 1074 1611 2148 2963 3222 4833 5926 6444 8889 9666 11852 17778 19332 26667 35556 53334 80001 106668 160002 320004 530377 1060754 1591131 2121508 3182262 4773393 6364524 9546786 14320179 19093572 28640358 57280716