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57538470 = 235111131543
BaseRepresentation
bin1101101101111…
…1011110100110
311000021020221110
43123133132212
5104212212340
65413125450
71266032433
oct333373646
9130236843
1057538470
112a52a560
1217329886
13bbc7742
1478dab8a
1550b8680
hex36df7a6

57538470 has 64 divisors (see below), whose sum is σ = 152077824. Its totient is φ = 13816320.

The previous prime is 57538469. The next prime is 57538483. The reversal of 57538470 is 7483575.

57538470 = T213 + T214 + ... + T707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36519 + ... + 38061.

It is an arithmetic number, because the mean of its divisors is an integer number (2376216).

Almost surely, 257538470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57538470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76038912).

57538470 is an abundant number, since it is smaller than the sum of its proper divisors (94539354).

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

57538470 is a wasteful number, since it uses less digits than its factorization.

57538470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677.

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 57538470 is about 7585.4116565945. The cubic root of 57538470 is about 386.0581896578.

The spelling of 57538470 in words is "fifty-seven million, five hundred thirty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 113 165 226 330 339 565 678 1130 1243 1543 1695 2486 3086 3390 3729 4629 6215 7458 7715 9258 12430 15430 16973 18645 23145 33946 37290 46290 50919 84865 101838 169730 174359 254595 348718 509190 523077 871795 1046154 1743590 1917949 2615385 3835898 5230770 5753847 9589745 11507694 19179490 28769235 57538470