Search a number
-
+
57216096 = 25327101281
BaseRepresentation
bin1101101001000…
…0110001100000
310222122212201200
43122100301200
5104121403341
65402201200
71263220530
oct332206140
9128585650
1057216096
112a32a333
12171b3200
13bb13aa2
1478554c0
155052db6
hex3690c60

57216096 has 144 divisors (see below), whose sum is σ = 188461728. Its totient is φ = 16128000.

The previous prime is 57216083. The next prime is 57216113. The reversal of 57216096 is 69061275.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57216096.

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, 203476 + ... + 203756.

It is an arithmetic number, because the mean of its divisors is an integer number (1308762).

Almost surely, 257216096 is an apocalyptic number.

57216096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57216096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94230864).

57216096 is an abundant number, since it is smaller than the sum of its proper divisors (131245632).

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

57216096 is a wasteful number, since it uses less digits than its factorization.

57216096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 57216096 is about 7564.1322040271. The cubic root of 57216096 is about 385.3358423334.

It can be divided in two parts, 57 and 216096, that added together give a triangular number (216153 = T657).

The spelling of 57216096 in words is "fifty-seven million, two hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 281 288 303 336 404 504 562 606 672 707 808 843 909 1008 1124 1212 1414 1616 1686 1818 1967 2016 2121 2248 2424 2529 2828 3232 3372 3636 3934 4242 4496 4848 5058 5656 5901 6363 6744 7272 7868 8484 8992 9696 10116 11312 11802 12726 13488 14544 15736 16968 17703 20232 22624 23604 25452 26976 28381 29088 31472 33936 35406 40464 47208 50904 56762 62944 67872 70812 80928 85143 94416 101808 113524 141624 170286 188832 198667 203616 227048 255429 283248 340572 397334 454096 510858 566496 596001 681144 794668 908192 1021716 1192002 1362288 1589336 1788003 2043432 2384004 2724576 3178672 3576006 4086864 4768008 6357344 7152012 8173728 9536016 14304024 19072032 28608048 57216096