Search a number
-
+
57224352 = 25319137229
BaseRepresentation
bin1101101001001…
…0110010100000
310222200022001110
43122102302200
5104122134402
65402303320
71263253563
oct332226240
9128608043
1057224352
112a335559
12171b7b40
13bb17783
1478584da
15505556c
hex3692ca0

57224352 has 96 divisors (see below), whose sum is σ = 159969600. Its totient is φ = 17860608.

The previous prime is 57224347. The next prime is 57224353. The reversal of 57224352 is 25342275.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (57224353) 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 15 ways as a sum of consecutive naturals, for example, 249774 + ... + 250002.

It is an arithmetic number, because the mean of its divisors is an integer number (1666350).

Almost surely, 257224352 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 57224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79984800).

57224352 is an abundant number, since it is smaller than the sum of its proper divisors (102745248).

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

57224352 is a wasteful number, since it uses less digits than its factorization.

57224352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its digits is 16800, while the sum is 30.

The square root of 57224352 is about 7564.6779177966. The cubic root of 57224352 is about 385.3543754615.

The spelling of 57224352 in words is "fifty-seven million, two hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 137 152 228 229 274 304 411 456 458 548 608 687 822 912 916 1096 1374 1644 1824 1832 2192 2603 2748 3288 3664 4351 4384 5206 5496 6576 7328 7809 8702 10412 10992 13053 13152 15618 17404 20824 21984 26106 31236 31373 34808 41648 52212 62472 62746 69616 83296 94119 104424 124944 125492 139232 188238 208848 249888 250984 376476 417696 501968 596087 752952 1003936 1192174 1505904 1788261 2384348 3011808 3576522 4768696 7153044 9537392 14306088 19074784 28612176 57224352