Search a number
-
+
57416656 = 24111132887
BaseRepresentation
bin1101101100000…
…1101111010000
311000001001211211
43123001233100
5104144313111
65410345504
71265014333
oct333015720
9130031754
1057416656
112a456a90
121728b294
13bb8416b
1478a861a
155092521
hex36c1bd0

57416656 has 40 divisors (see below), whose sum is σ = 122474304. Its totient is φ = 25858560.

The previous prime is 57416641. The next prime is 57416669. The reversal of 57416656 is 65661475.

57416656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 18445 + ... + 21331.

Almost surely, 257416656 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 57416656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61237152).

57416656 is an abundant number, since it is smaller than the sum of its proper divisors (65057648).

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

57416656 is a wasteful number, since it uses less digits than its factorization.

57416656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3013 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 57416656 is about 7577.3779105968. The cubic root of 57416656 is about 385.7855574613.

The spelling of 57416656 in words is "fifty-seven million, four hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2486 2887 4972 5774 9944 11548 19888 23096 31757 46192 63514 127028 254056 326231 508112 652462 1304924 2609848 3588541 5219696 7177082 14354164 28708328 57416656