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57050406 = 234727187
BaseRepresentation
bin1101100110100…
…0010100100110
310222100110110000
43121220110212
5104101103111
65354442130
71261630500
oct331502446
9128313400
1057050406
112a2268a6
1217133346
13ba8654a
147810d70
15501dc56
hex3668526

57050406 has 60 divisors (see below), whose sum is σ = 148726908. Its totient is φ = 16297848.

The previous prime is 57050387. The next prime is 57050429. The reversal of 57050406 is 60405075.

57050406 is a `hidden beast` number, since 570 + 50 + 40 + 6 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57050406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4345 + ... + 11531.

Almost surely, 257050406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57050406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74363454).

57050406 is an abundant number, since it is smaller than the sum of its proper divisors (91676502).

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

57050406 is a wasteful number, since it uses less digits than its factorization.

57050406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7215 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57050406 is about 7553.1719164865. The cubic root of 57050406 is about 384.9635227148.

The spelling of 57050406 in words is "fifty-seven million, fifty thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7187 7938 14374 21561 43122 50309 64683 100618 129366 150927 194049 301854 352163 388098 452781 582147 704326 905562 1056489 1164294 1358343 2112978 2716686 3169467 4075029 6338934 8150058 9508401 19016802 28525203 57050406