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57968196 = 223112133783
BaseRepresentation
bin1101110100100…
…0011001000100
311001002002102020
43131020121010
5104314440241
65430243140
71302502326
oct335103104
9131062366
1057968196
112a7a3400
12174b64b0
13c018210
1479ad616
155150b66
hex3748644

57968196 has 144 divisors (see below), whose sum is σ = 166418112. Its totient is φ = 15586560.

The previous prime is 57968191. The next prime is 57968203. The reversal of 57968196 is 69186975.

Its product of digits (816480) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (57968191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698371 + ... + 698453.

Almost surely, 257968196 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 57968196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83209056).

57968196 is an abundant number, since it is smaller than the sum of its proper divisors (108449916).

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

57968196 is a wasteful number, since it uses less digits than its factorization.

57968196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 57968196 is about 7613.6847846493. The cubic root of 57968196 is about 387.0168986204.

The spelling of 57968196 in words is "fifty-seven million, nine hundred sixty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 37 39 44 52 66 74 78 83 111 121 132 143 148 156 166 222 242 249 286 332 363 407 429 444 481 484 498 572 726 814 858 913 962 996 1079 1221 1443 1452 1573 1628 1716 1826 1924 2158 2442 2739 2886 3071 3146 3237 3652 4316 4477 4719 4884 5291 5478 5772 6142 6292 6474 8954 9213 9438 10043 10582 10956 11869 12284 12948 13431 15873 17908 18426 18876 20086 21164 23738 26862 30129 31746 33781 35607 36852 39923 40172 47476 53724 58201 60258 63492 67562 71214 79846 101343 116402 119769 120516 130559 135124 142428 159692 174603 202686 232804 239538 261118 349206 371591 391677 405372 439153 479076 522236 698412 743182 783354 878306 1114773 1317459 1486364 1566708 1756612 2229546 2634918 4459092 4830683 5269836 9661366 14492049 19322732 28984098 57968196