Search a number
-
+
57334416 = 2431796673
BaseRepresentation
bin1101101010110…
…1101010010000
310222212220000220
43122231222100
5104134200131
65404513040
71264222506
oct332555220
9128786026
1057334416
112a400217
121724b780
13bb558b9
147886676
155077e96
hex36ada90

57334416 has 40 divisors (see below), whose sum is σ = 148963680. Its totient is φ = 19001856.

The previous prime is 57334373. The next prime is 57334429. The reversal of 57334416 is 61443375.

57334416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×573344162 = 6574470516122112, which contains 22 as substring.

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, 5256 + ... + 11928.

It is an arithmetic number, because the mean of its divisors is an integer number (3724092).

Almost surely, 257334416 is an apocalyptic number.

It is an amenable number.

57334416 is an abundant number, since it is smaller than the sum of its proper divisors (91629264).

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

57334416 is a wasteful number, since it uses less digits than its factorization.

57334416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6857 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 57334416 is about 7571.9492866765. The cubic root of 57334416 is about 385.6012778089.

The spelling of 57334416 in words is "fifty-seven million, three hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 6673 8592 13346 20019 26692 40038 53384 80076 106768 160152 320304 1194467 2388934 3583401 4777868 7166802 9555736 14333604 19111472 28667208 57334416