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57000040 = 2351738237
BaseRepresentation
bin1101100101110…
…0000001101000
310222020220100121
43121130001220
5104043000130
65353413024
71261330606
oct331340150
9128226317
1057000040
112a1a1a79
121710a174
13ba69646
1477da876
15500dd7a
hex365c068

57000040 has 32 divisors (see below), whose sum is σ = 129007080. Its totient is φ = 22665472.

The previous prime is 57000037. The next prime is 57000059. The reversal of 57000040 is 4000075.

It can be written as a sum of positive squares in 4 ways, for example, as 55621764 + 1378276 = 7458^2 + 1174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56999978 and 57000023.

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 7 ways as a sum of consecutive naturals, for example, 2802 + ... + 11038.

Almost surely, 257000040 is an apocalyptic number.

It is an amenable number.

57000040 is an abundant number, since it is smaller than the sum of its proper divisors (72007040).

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

57000040 is a wasteful number, since it uses less digits than its factorization.

57000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421 (or 8417 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 57000040 is about 7549.8370843350. The cubic root of 57000040 is about 384.8502031511.

The spelling of 57000040 in words is "fifty-seven million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 6920 8237 16474 32948 41185 65896 82370 164740 329480 1425001 2850002 5700004 7125005 11400008 14250010 28500020 57000040