Search a number
-
+
42557346 = 2331360623
BaseRepresentation
bin1010001001010…
…1111110100010
32222002010201000
42202111332202
541343313341
64120052430
71024505616
oct242257642
988063630
1042557346
1122027a67
1212304116
138a80880
14591b346
153b098b6
hex2895fa2

42557346 has 32 divisors (see below), whose sum is σ = 101848320. Its totient is φ = 13094352.

The previous prime is 42557323. The next prime is 42557353. The reversal of 42557346 is 64375524.

42557346 is a `hidden beast` number, since 42 + 5 + 573 + 46 = 666.

42557346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425573462 = 3622255397127432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42557346.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29610 + ... + 31013.

It is an arithmetic number, because the mean of its divisors is an integer number (3182760).

Almost surely, 242557346 is an apocalyptic number.

42557346 is an abundant number, since it is smaller than the sum of its proper divisors (59290974).

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

42557346 is a wasteful number, since it uses less digits than its factorization.

42557346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60647 (or 60641 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 42557346 is about 6523.5991599730. The cubic root of 42557346 is about 349.1334918980.

The spelling of 42557346 in words is "forty-two million, five hundred fifty-seven thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 60623 121246 181869 363738 545607 788099 1091214 1576198 1636821 2364297 3273642 4728594 7092891 14185782 21278673 42557346