Search a number
-
+
57312738 = 2337316773
BaseRepresentation
bin1101101010100…
…0010111100010
310222211210022000
43122220113202
5104133001423
65404224430
71264102350
oct332502742
9128753260
1057312738
112a3959aa
121723b116
13bb48a82
14787c7d0
155071843
hex36a85e2

57312738 has 128 divisors (see below), whose sum is σ = 154583040. Its totient is φ = 15396480.

The previous prime is 57312737. The next prime is 57312743. The reversal of 57312738 is 83721375.

57312738 is a `hidden beast` number, since 573 + 12 + 73 + 8 = 666.

57312738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57312737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785070 + ... + 785142.

It is an arithmetic number, because the mean of its divisors is an integer number (1207680).

Almost surely, 257312738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57312738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77291520).

57312738 is an abundant number, since it is smaller than the sum of its proper divisors (97270302).

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

57312738 is a wasteful number, since it uses less digits than its factorization.

57312738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 57312738 is about 7570.5176837519. The cubic root of 57312738 is about 385.5526733882.

The spelling of 57312738 in words is "fifty-seven million, three hundred twelve thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 67 73 93 126 134 146 186 189 201 217 219 279 378 402 434 438 469 511 558 603 651 657 837 938 1022 1206 1302 1314 1407 1533 1674 1809 1953 1971 2077 2263 2814 3066 3618 3906 3942 4154 4221 4526 4599 4891 5859 6231 6789 8442 9198 9782 11718 12462 12663 13578 13797 14539 14673 15841 18693 20367 25326 27594 29078 29346 31682 34237 37386 40734 43617 44019 47523 56079 61101 68474 87234 88038 95046 102711 112158 122202 130851 132057 142569 151621 205422 261702 264114 285138 303242 308133 392553 427707 454863 616266 785106 855414 909726 924399 1061347 1364589 1848798 2122694 2729178 3184041 4093767 6368082 8187534 9552123 19104246 28656369 57312738