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57283040 = 2553111549
BaseRepresentation
bin1101101010000…
…1000111100000
310222210021120002
43122201013200
5104131024130
65403435132
71263616643
oct332410740
9128707502
1057283040
112a375661
1217225aa8
13bb383b9
147871a5a
155067b45
hex36a11e0

57283040 has 48 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 22172160.

The previous prime is 57283021. The next prime is 57283063. The reversal of 57283040 is 4038275.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57282994 and 57283012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815 + ... + 10734.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 257283040 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 57283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

57283040 is an abundant number, since it is smaller than the sum of its proper divisors (82425760).

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

57283040 is a wasteful number, since it uses less digits than its factorization.

57283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11595 (or 11587 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 57283040 is about 7568.5560049457. The cubic root of 57283040 is about 385.4860673597.

The spelling of 57283040 in words is "fifty-seven million, two hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 11549 23098 46196 57745 92392 115490 184784 230980 358019 369568 461960 716038 923920 1432076 1790095 1847840 2864152 3580190 5728304 7160380 11456608 14320760 28641520 57283040