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542265592 = 2311171312767
BaseRepresentation
bin100000010100100…
…101000011111000
31101210100221112211
4200110211003320
52102304444332
6125450344504
716303116151
oct4024450370
91353327484
10542265592
11259105190
1213172b134
1388462c1b
1452038928
1532916447
hex205250f8

542265592 has 64 divisors (see below), whose sum is σ = 1183818240. Its totient is φ = 230131200.

The previous prime is 542265587. The next prime is 542265593. The reversal of 542265592 is 295562245.

It is a super-2 number, since 2×5422655922 = 588103944534220928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542265593) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 194593 + ... + 197359.

It is an arithmetic number, because the mean of its divisors is an integer number (18497160).

Almost surely, 2542265592 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 542265592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591909120).

542265592 is an abundant number, since it is smaller than the sum of its proper divisors (641552648).

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

542265592 is a wasteful number, since it uses less digits than its factorization.

542265592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2928 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

The square root of 542265592 is about 23286.5968316540. The cubic root of 542265592 is about 815.4625409601.

The spelling of 542265592 in words is "five hundred forty-two million, two hundred sixty-five thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 131 136 187 262 374 524 748 1048 1441 1496 2227 2767 2882 4454 5534 5764 8908 11068 11528 17816 22136 24497 30437 47039 48994 60874 94078 97988 121748 188156 195976 243496 362477 376312 517429 724954 1034858 1449908 2069716 2899816 3987247 4139432 6162109 7974494 12324218 15948988 24648436 31897976 49296872 67783199 135566398 271132796 542265592