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57229060 = 22572232539
BaseRepresentation
bin1101101001001…
…1111100000100
310222200112111211
43122103330010
5104122312220
65402341204
71263303400
oct332237404
9128615454
1057229060
112a339049
12171ba804
13bb19965
14785a100
155056b5a
hex3693f04

57229060 has 72 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 18760896.

The previous prime is 57229043. The next prime is 57229061. The reversal of 57229060 is 6092275.

57229060 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 (57229061) 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 23 ways as a sum of consecutive naturals, for example, 21271 + ... + 23809.

It is an arithmetic number, because the mean of its divisors is an integer number (2026920).

Almost surely, 257229060 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 57229060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

57229060 is an abundant number, since it is smaller than the sum of its proper divisors (88709180).

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

57229060 is a wasteful number, since it uses less digits than its factorization.

57229060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 57229060 is about 7564.9890945063. The cubic root of 57229060 is about 385.3649432156.

The spelling of 57229060 in words is "fifty-seven million, two hundred twenty-nine thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 2539 3220 4508 5078 5635 10156 11270 12695 17773 22540 25390 35546 50780 58397 71092 88865 116794 124411 177730 233588 248822 291985 355460 408779 497644 583970 622055 817558 1167940 1244110 1635116 2043895 2488220 2861453 4087790 5722906 8175580 11445812 14307265 28614530 57229060