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57238080 = 2635109547
BaseRepresentation
bin1101101001011…
…0001001000000
310222200222212220
43122112021000
5104123104310
65402451040
71263341604
oct332261100
9128628786
1057238080
112a3448a9
1217203a80
13bb20ab3
14785d504
155059670
hex3696240

57238080 has 112 divisors (see below), whose sum is σ = 183733440. Its totient is φ = 15095808.

The previous prime is 57238067. The next prime is 57238087. The reversal of 57238080 is 8083275.

It is not an unprimeable number, because it can be changed into a prime (57238087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104367 + ... + 104913.

Almost surely, 257238080 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 57238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91866720).

57238080 is an abundant number, since it is smaller than the sum of its proper divisors (126495360).

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

57238080 is a wasteful number, since it uses less digits than its factorization.

57238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 57238080 is about 7565.5852384333. The cubic root of 57238080 is about 385.3851882286.

The spelling of 57238080 in words is "fifty-seven million, two hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 192 218 240 320 327 436 480 545 547 654 872 960 1090 1094 1308 1635 1641 1744 2180 2188 2616 2735 3270 3282 3488 4360 4376 5232 5470 6540 6564 6976 8205 8720 8752 10464 10940 13080 13128 16410 17440 17504 20928 21880 26160 26256 32820 34880 35008 43760 52320 52512 59623 65640 87520 104640 105024 119246 131280 175040 178869 238492 262560 298115 357738 476984 525120 596230 715476 894345 953968 1192460 1430952 1788690 1907936 2384920 2861904 3577380 3815872 4769840 5723808 7154760 9539680 11447616 14309520 19079360 28619040 57238080