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57495096 = 2334831069
BaseRepresentation
bin1101101101010…
…0111000111000
311000012001110000
43123110320320
5104204320341
65412153000
71265462121
oct333247070
9130161400
1057495096
112a4aaa0a
1217308760
13bbb0a89
1478c9048
1550aa8b6
hex36d4e38

57495096 has 80 divisors (see below), whose sum is σ = 163132200. Its totient is φ = 18916416.

The previous prime is 57495091. The next prime is 57495103. The reversal of 57495096 is 69059475.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57495091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53250 + ... + 54318.

Almost surely, 257495096 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 57495096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81566100).

57495096 is an abundant number, since it is smaller than the sum of its proper divisors (105637104).

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

57495096 is a wasteful number, since it uses less digits than its factorization.

57495096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 57495096 is about 7582.5520769725. The cubic root of 57495096 is about 385.9611583600.

The spelling of 57495096 in words is "fifty-seven million, four hundred ninety-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1069 1494 1992 2138 2241 2988 3207 4276 4482 5976 6414 6723 8552 8964 9621 12828 13446 17928 19242 25656 26892 28863 38484 53784 57726 76968 86589 88727 115452 173178 177454 230904 266181 346356 354908 532362 692712 709816 798543 1064724 1597086 2129448 2395629 3194172 4791258 6388344 7186887 9582516 14373774 19165032 28747548 57495096