Search a number
-
+
57030432 = 2532321123
BaseRepresentation
bin1101100110001…
…1011100100000
310222022110001020
43121203130200
5104044433212
65354205440
71261515324
oct331433440
9128273036
1057030432
112a212898
1217123880
13ba7a424
147807984
155017d8c
hex3663720

57030432 has 72 divisors (see below), whose sum is σ = 156636144. Its totient is φ = 18167424.

The previous prime is 57030397. The next prime is 57030437. The reversal of 57030432 is 23403075.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (57030437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50223 + ... + 51345.

It is an arithmetic number, because the mean of its divisors is an integer number (2175502).

Almost surely, 257030432 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 57030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78318072).

57030432 is an abundant number, since it is smaller than the sum of its proper divisors (99605712).

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

57030432 is a wasteful number, since it uses less digits than its factorization.

57030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 57030432 is about 7551.8495747731. The cubic root of 57030432 is about 384.9185907591.

The spelling of 57030432 in words is "fifty-seven million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 736 1058 1104 1123 1587 2116 2208 2246 3174 3369 4232 4492 6348 6738 8464 8984 12696 13476 16928 17968 25392 25829 26952 35936 50784 51658 53904 77487 103316 107808 154974 206632 309948 413264 594067 619896 826528 1188134 1239792 1782201 2376268 2479584 3564402 4752536 7128804 9505072 14257608 19010144 28515216 57030432