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57913728 = 273672251
BaseRepresentation
bin1101110011101…
…1000110000000
311000222022200220
43130323012000
5104311214403
65425143040
71302154455
oct334730600
9130868626
1057913728
112a766494
121748aa80
13bcc94a2
14799782c
15513e953
hex373b180

57913728 has 64 divisors (see below), whose sum is σ = 156198720. Its totient is φ = 19008000.

The previous prime is 57913727. The next prime is 57913741. The reversal of 57913728 is 82731975.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 57913728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57913721) 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, 24603 + ... + 26853.

It is an arithmetic number, because the mean of its divisors is an integer number (2440605).

Almost surely, 257913728 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 57913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78099360).

57913728 is an abundant number, since it is smaller than the sum of its proper divisors (98284992).

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

57913728 is a wasteful number, since it uses less digits than its factorization.

57913728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2323 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 57913728 is about 7610.1069637686. The cubic root of 57913728 is about 386.8956445321.

The spelling of 57913728 in words is "fifty-seven million, nine hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 2251 3216 4288 4502 6432 6753 8576 9004 12864 13506 18008 25728 27012 36016 54024 72032 108048 144064 150817 216096 288128 301634 432192 452451 603268 864384 904902 1206536 1809804 2413072 3619608 4826144 7239216 9652288 14478432 19304576 28956864 57913728