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57490974 = 23217892111
BaseRepresentation
bin1101101101001…
…1111000011110
311000011211210100
43123103320132
5104204202344
65412121530
71265444112
oct333237036
9130154710
1057490974
112a4a7902
12173062a6
13bbabc38
1478c7742
1550a9569
hex36d3e1e

57490974 has 48 divisors (see below), whose sum is σ = 133436160. Its totient is φ = 17825280.

The previous prime is 57490967. The next prime is 57490997. The reversal of 57490974 is 47909475.

57490974 is a `hidden beast` number, since 574 + 9 + 0 + 9 + 74 = 666.

It is a super-3 number, since 3×574909743 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26179 + ... + 28289.

It is an arithmetic number, because the mean of its divisors is an integer number (2779920).

Almost surely, 257490974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57490974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66718080).

57490974 is an abundant number, since it is smaller than the sum of its proper divisors (75945186).

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

57490974 is a wasteful number, since it uses less digits than its factorization.

57490974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 57490974 is about 7582.2802638784. The cubic root of 57490974 is about 385.9519345593.

The spelling of 57490974 in words is "fifty-seven million, four hundred ninety thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 534 801 1513 1602 2111 3026 4222 4539 6333 9078 12666 13617 18999 27234 35887 37998 71774 107661 187879 215322 322983 375758 563637 645966 1127274 1690911 3193943 3381822 6387886 9581829 19163658 28745487 57490974