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57073440 = 2535118903
BaseRepresentation
bin1101100110110…
…1111100100000
310222101122001010
43121231330200
5104102322230
65355140520
71262054604
oct331557440
9128348033
1057073440
112a242136
1217144740
13ba93b88
147819504
1550259b0
hex366df20

57073440 has 48 divisors (see below), whose sum is σ = 179782848. Its totient is φ = 15219456.

The previous prime is 57073417. The next prime is 57073447. The reversal of 57073440 is 4437075.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57073398 and 57073407.

It is not an unprimeable number, because it can be changed into a prime (57073447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58972 + ... + 59931.

It is an arithmetic number, because the mean of its divisors is an integer number (3745476).

Almost surely, 257073440 is an apocalyptic number.

It is an amenable number.

57073440 is an abundant number, since it is smaller than the sum of its proper divisors (122709408).

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

57073440 is a wasteful number, since it uses less digits than its factorization.

57073440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118921 (or 118913 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 57073440 is about 7554.6965524765. The cubic root of 57073440 is about 385.0153251897.

The spelling of 57073440 in words is "fifty-seven million, seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 118903 237806 356709 475612 594515 713418 951224 1189030 1426836 1783545 1902448 2378060 2853672 3567090 3804896 4756120 5707344 7134180 9512240 11414688 14268360 19024480 28536720 57073440