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542617572 = 223725915641
BaseRepresentation
bin100000010101111…
…010111111100100
31101211000211101010
4200111322333210
52102402230242
6125502102220
716306113300
oct4025727744
91354024333
10542617572
11259325682
1213187a970
13885571b3
14520cad00
153298589c
hex2057afe4

542617572 has 72 divisors (see below), whose sum is σ = 1497877920. Its totient is φ = 152396160.

The previous prime is 542617567. The next prime is 542617613. The reversal of 542617572 is 275716245.

It is a self number, because there is not a number n which added to its sum of digits gives 542617572.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26872 + ... + 42512.

It is an arithmetic number, because the mean of its divisors is an integer number (20803860).

Almost surely, 2542617572 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 542617572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748938960).

542617572 is an abundant number, since it is smaller than the sum of its proper divisors (955260348).

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

542617572 is a wasteful number, since it uses less digits than its factorization.

542617572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15721 (or 15712 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 542617572 is about 23294.1531719872. The cubic root of 542617572 is about 815.6389394074.

The spelling of 542617572 in words is "five hundred forty-two million, six hundred seventeen thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2891 4956 5782 8673 11564 15641 17346 31282 34692 46923 62564 93846 109487 187692 218974 328461 437948 656922 766409 922819 1313844 1532818 1845638 2299227 2768457 3065636 3691276 4598454 5536914 6459733 9196908 11073828 12919466 19379199 25838932 38758398 45218131 77516796 90436262 135654393 180872524 271308786 542617572