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57716496 = 24331729271
BaseRepresentation
bin1101110000101…
…0111100010000
311000121022011000
43130022330100
5104233411441
65421022000
71300403445
oct334127420
9130538130
1057716496
112a641292
12173b4900
13bc5a796
1479459cc
1551012b6
hex370af10

57716496 has 160 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 17418240.

The previous prime is 57716459. The next prime is 57716521. The reversal of 57716496 is 69461775.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212841 + ... + 213111.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 257716496 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 57716496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

57716496 is an abundant number, since it is smaller than the sum of its proper divisors (124414704).

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

57716496 is a wasteful number, since it uses less digits than its factorization.

57716496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

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

The square root of 57716496 is about 7597.1373556097. The cubic root of 57716496 is about 386.4559388170.

The spelling of 57716496 in words is "fifty-seven million, seven hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 29 34 36 48 51 54 58 68 72 87 102 108 116 136 144 153 174 204 216 232 261 271 272 306 348 408 432 459 464 493 522 542 612 696 783 813 816 918 986 1044 1084 1224 1392 1479 1566 1626 1836 1972 2088 2168 2439 2448 2958 3132 3252 3672 3944 4176 4336 4437 4607 4878 5916 6264 6504 7317 7344 7859 7888 8874 9214 9756 11832 12528 13008 13311 13821 14634 15718 17748 18428 19512 23577 23664 26622 27642 29268 31436 35496 36856 39024 41463 47154 53244 55284 58536 62872 70731 70992 73712 82926 94308 106488 110568 117072 124389 125744 133603 141462 165852 188616 212193 212976 221136 248778 267206 282924 331704 377232 400809 424386 497556 534412 565848 663408 801618 848772 995112 1068824 1131696 1202427 1603236 1697544 1990224 2137648 2404854 3206472 3395088 3607281 4809708 6412944 7214562 9619416 14429124 19238832 28858248 57716496