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57489520 = 2451125939
BaseRepresentation
bin1101101101001…
…1100001110000
311000011202210111
43123103201300
5104204131040
65412111104
71265436634
oct333234160
9130152714
1057489520
112a4a6800
1217305494
13bbab38a
1478c6dc4
1550a8dea
hex36d3870

57489520 has 60 divisors (see below), whose sum is σ = 146943720. Its totient is φ = 20901760.

The previous prime is 57489517. The next prime is 57489533. The reversal of 57489520 is 2598475.

57489520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×574895203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6711 + ... + 12649.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 257489520 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 57489520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73471860).

57489520 is an abundant number, since it is smaller than the sum of its proper divisors (89454200).

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

57489520 is a wasteful number, since it uses less digits than its factorization.

57489520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 57489520 is about 7582.1843818256. The cubic root of 57489520 is about 385.9486808379.

The spelling of 57489520 in words is "fifty-seven million, four hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 5939 9680 11878 23756 29695 47512 59390 65329 95024 118780 130658 237560 261316 326645 475120 522632 653290 718619 1045264 1306580 1437238 2613160 2874476 3593095 5226320 5748952 7186190 11497904 14372380 28744760 57489520