Search a number
-
+
57956416 = 267218481
BaseRepresentation
bin1101110100010…
…1100001000000
311001001111020221
43131011201000
5104314101131
65430112424
71302423100
oct335054100
9131044227
1057956416
112a795571
12174ab714
13c012a4b
1479a9200
15514c411
hex3745840

57956416 has 42 divisors (see below), whose sum is σ = 133791198. Its totient is φ = 24837120.

The previous prime is 57956399. The next prime is 57956429. The reversal of 57956416 is 61465975.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 802816 = 7560^2 + 896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6105 + ... + 12376.

Almost surely, 257956416 is an apocalyptic number.

57956416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57956416 is an abundant number, since it is smaller than the sum of its proper divisors (75834782).

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

57956416 is a wasteful number, since it uses less digits than its factorization.

57956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18507 (or 18490 counting only the distinct ones).

The product of its digits is 226800, while the sum is 43.

The square root of 57956416 is about 7612.9111383228. The cubic root of 57956416 is about 386.9906809802.

The spelling of 57956416 in words is "fifty-seven million, nine hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 18481 36962 73924 129367 147848 258734 295696 517468 591392 905569 1034936 1182784 1811138 2069872 3622276 4139744 7244552 8279488 14489104 28978208 57956416