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57401820 = 22325745557
BaseRepresentation
bin1101101011111…
…0000111011100
311000000022111100
43122332013130
5104143324240
65410153100
71264623150
oct332760734
9130008440
1057401820
112a446923
1217282790
13bb7a498
1478a3060
15508ce30
hex36be1dc

57401820 has 72 divisors (see below), whose sum is σ = 198997344. Its totient is φ = 13120128.

The previous prime is 57401819. The next prime is 57401821. The reversal of 57401820 is 2810475.

It is an interprime number because it is at equal distance from previous prime (57401819) and next prime (57401821).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57401821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21519 + ... + 24038.

It is an arithmetic number, because the mean of its divisors is an integer number (2763852).

Almost surely, 257401820 is an apocalyptic number.

It is an amenable number.

57401820 is an abundant number, since it is smaller than the sum of its proper divisors (141595524).

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

57401820 is a wasteful number, since it uses less digits than its factorization.

57401820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45579 (or 45574 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57401820 is about 7576.3988807348. The cubic root of 57401820 is about 385.7523266420.

The spelling of 57401820 in words is "fifty-seven million, four hundred one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 45557 91114 136671 182228 227785 273342 318899 410013 455570 546684 637798 683355 820026 911140 956697 1275596 1366710 1594495 1640052 1913394 2050065 2733420 2870091 3188990 3826788 4100130 4783485 5740182 6377980 8200260 9566970 11480364 14350455 19133940 28700910 57401820