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57493296 = 2432757037
BaseRepresentation
bin1101101101010…
…0011100110000
311000011221222100
43123110130300
5104204241141
65412140400
71265453640
oct333243460
9130157870
1057493296
112a4a9623
1217307700
13bbb0003
1478c8520
1550aa0b6
hex36d4730

57493296 has 60 divisors (see below), whose sum is σ = 183890512. Its totient is φ = 16426368.

The previous prime is 57493291. The next prime is 57493309. The reversal of 57493296 is 69239475.

It is a happy number.

57493296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57493291) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27511 + ... + 29526.

Almost surely, 257493296 is an apocalyptic number.

57493296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57493296 is an abundant number, since it is smaller than the sum of its proper divisors (126397216).

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

57493296 is a wasteful number, since it uses less digits than its factorization.

57493296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57058 (or 57049 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 57493296 is about 7582.4333824967. The cubic root of 57493296 is about 385.9571305537.

It can be divided in two parts, 5749 and 3296, that added together give a triangular number (9045 = T134).

The spelling of 57493296 in words is "fifty-seven million, four hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 57037 114074 171111 228148 342222 399259 456296 513333 684444 798518 912592 1026666 1197777 1368888 1597036 2053332 2395554 2737776 3194072 3593331 4106664 4791108 6388144 7186662 8213328 9582216 14373324 19164432 28746648 57493296