Search a number
-
+
57230964 = 223271911953
BaseRepresentation
bin1101101001010…
…0011001110100
310222200122010100
43122110121310
5104122342324
65402354100
71263312060
oct332243164
9128618110
1057230964
112a33a51a
12171bb930
13bb1a79b
14785aaa0
1550574c9
hex3694674

57230964 has 72 divisors (see below), whose sum is σ = 174050240. Its totient is φ = 15489792.

The previous prime is 57230951. The next prime is 57230981. The reversal of 57230964 is 46903275.

57230964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189 + ... + 10764.

Almost surely, 257230964 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 57230964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87025120).

57230964 is an abundant number, since it is smaller than the sum of its proper divisors (116819276).

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

57230964 is a wasteful number, since it uses less digits than its factorization.

57230964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11989 (or 11984 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57230964 is about 7565.1149363377. The cubic root of 57230964 is about 385.3692168411.

The spelling of 57230964 in words is "fifty-seven million, two hundred thirty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 11953 23906 35859 47812 71718 83671 107577 143436 167342 215154 227107 251013 334684 430308 454214 502026 681321 753039 908428 1004052 1362642 1506078 1589749 2043963 2725284 3012156 3179498 4087926 4769247 6358996 8175852 9538494 14307741 19076988 28615482 57230964