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57354720 = 2535119489
BaseRepresentation
bin1101101011001…
…0100111100000
310222220220212220
43122302213200
5104140322340
65405151040
71264335633
oct332624740
9128826786
1057354720
112a4144a5
121725b480
13bb61c07
14788dc1a
15507ded0
hex36b29e0

57354720 has 48 divisors (see below), whose sum is σ = 180668880. Its totient is φ = 15294464.

The previous prime is 57354697. The next prime is 57354727. The reversal of 57354720 is 2745375.

57354720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57354727) 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 7 ways as a sum of consecutive naturals, for example, 59265 + ... + 60224.

It is an arithmetic number, because the mean of its divisors is an integer number (3763935).

Almost surely, 257354720 is an apocalyptic number.

It is an amenable number.

57354720 is an abundant number, since it is smaller than the sum of its proper divisors (123314160).

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

57354720 is a wasteful number, since it uses less digits than its factorization.

57354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119507 (or 119499 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 57354720 is about 7573.2899059788. The cubic root of 57354720 is about 385.6467904630.

The spelling of 57354720 in words is "fifty-seven million, three hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 119489 238978 358467 477956 597445 716934 955912 1194890 1433868 1792335 1911824 2389780 2867736 3584670 3823648 4779560 5735472 7169340 9559120 11470944 14338680 19118240 28677360 57354720