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57998592 = 28342797
BaseRepresentation
bin1101110100111…
…1110100000000
311001010122010000
43131033310000
5104321423332
65431040000
71302660051
oct335176400
9131118100
1057998592
112a814223
1217510000
13c028cc2
1479ba728
155159b7c
hex374fd00

57998592 has 90 divisors (see below), whose sum is σ = 173003138. Its totient is φ = 19325952.

The previous prime is 57998581. The next prime is 57998597. The reversal of 57998592 is 29589975.

57998592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53934336 + 4064256 = 7344^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57998597) 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 9 ways as a sum of consecutive naturals, for example, 19338 + ... + 22134.

Almost surely, 257998592 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 57998592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86501569).

57998592 is an abundant number, since it is smaller than the sum of its proper divisors (115004546).

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

57998592 is an equidigital number, since it uses as much as digits as its factorization.

57998592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2802 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The square root of 57998592 is about 7615.6806655742. The cubic root of 57998592 is about 387.0845317419.

The spelling of 57998592 in words is "fifty-seven million, nine hundred ninety-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 2797 3456 5184 5594 6912 8391 10368 11188 16782 20736 22376 25173 33564 44752 50346 67128 75519 89504 100692 134256 151038 179008 201384 226557 268512 302076 358016 402768 453114 537024 604152 716032 805536 906228 1074048 1208304 1611072 1812456 2148096 2416608 3222144 3624912 4833216 6444288 7249824 9666432 14499648 19332864 28999296 57998592