Search a number
-
+
57568152 = 23337241269
BaseRepresentation
bin1101101110011…
…0101110011000
311000022202122210
43123212232120
5104214140102
65413515120
71266215115
oct333465630
9130282583
1057568152
112a54a894
1217342aa0
13bc080c5
14790790c
1550c236c
hex36e6b98

57568152 has 64 divisors (see below), whose sum is σ = 148975200. Its totient is φ = 18524160.

The previous prime is 57568139. The next prime is 57568153. The reversal of 57568152 is 25186575.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57568152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57568153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213874 + ... + 214142.

Almost surely, 257568152 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 57568152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74487600).

57568152 is an abundant number, since it is smaller than the sum of its proper divisors (91407048).

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

57568152 is a wasteful number, since it uses less digits than its factorization.

57568152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its digits is 84000, while the sum is 39.

The square root of 57568152 is about 7587.3679230679. The cubic root of 57568152 is about 386.1245626968.

The spelling of 57568152 in words is "fifty-seven million, five hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 241 269 296 444 482 538 723 807 888 964 1076 1446 1614 1928 2152 2892 3228 5784 6456 8917 9953 17834 19906 26751 29859 35668 39812 53502 59718 64829 71336 79624 107004 119436 129658 194487 214008 238872 259316 388974 518632 777948 1555896 2398673 4797346 7196019 9594692 14392038 19189384 28784076 57568152