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57598242 = 23132431321
BaseRepresentation
bin1101101110111…
…0000100100010
311000101021221020
43123232010202
5104221120432
65414310310
71266401622
oct333560442
9130337836
1057598242
112a570459
1217358396
13bc18a00
147914882
1550cb22c
hex36ee122

57598242 has 48 divisors (see below), whose sum is σ = 127736928. Its totient is φ = 17297280.

The previous prime is 57598231. The next prime is 57598249. The reversal of 57598242 is 24289575.

57598242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57598194 and 57598203.

It is not an unprimeable number, because it can be changed into a prime (57598249) 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, 42942 + ... + 44262.

It is an arithmetic number, because the mean of its divisors is an integer number (2661186).

Almost surely, 257598242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57598242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63868464).

57598242 is an abundant number, since it is smaller than the sum of its proper divisors (70138686).

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

57598242 is a wasteful number, since it uses less digits than its factorization.

57598242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1382 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 57598242 is about 7589.3505651011. The cubic root of 57598242 is about 386.1918247969.

The spelling of 57598242 in words is "fifty-seven million, five hundred ninety-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 169 258 338 507 559 1014 1118 1321 1677 2642 3354 3963 7267 7926 14534 17173 21801 34346 43602 51519 56803 103038 113606 170409 223249 340818 446498 669747 738439 1339494 1476878 2215317 4430634 9599707 19199414 28799121 57598242