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57101058 = 2337295209
BaseRepresentation
bin1101100111010…
…0101100000010
310222110000221000
43121310230002
5104104213213
65355512430
71262231250
oct331645402
9128400830
1057101058
112a260963
1217158716
13baa3611
1478255d0
15502dc73
hex3674b02

57101058 has 64 divisors (see below), whose sum is σ = 150048000. Its totient is φ = 15748992.

The previous prime is 57101003. The next prime is 57101071. The reversal of 57101058 is 85010175.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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, 8358 + ... + 13566.

It is an arithmetic number, because the mean of its divisors is an integer number (2344500).

Almost surely, 257101058 is an apocalyptic number.

57101058 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57101058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75024000).

57101058 is an abundant number, since it is smaller than the sum of its proper divisors (92946942).

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

57101058 is a wasteful number, since it uses less digits than its factorization.

57101058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 57101058 is about 7556.5242009802. The cubic root of 57101058 is about 385.0774185122.

The spelling of 57101058 in words is "fifty-seven million, one hundred one thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 3654 5209 5481 10418 10962 15627 31254 36463 46881 72926 93762 109389 140643 151061 218778 281286 302122 328167 453183 656334 906366 984501 1057427 1359549 1969002 2114854 2719098 3172281 4078647 6344562 8157294 9516843 19033686 28550529 57101058