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42659296 = 2523149389
BaseRepresentation
bin1010001010111…
…0110111100000
32222021022112221
42202232313200
541410044141
64122200424
71025412061
oct242566740
988238487
1042659296
1122097619
1212353114
138ab80b4
145946568
153b29bd1
hex28aede0

42659296 has 48 divisors (see below), whose sum is σ = 88452000. Its totient is φ = 20213248.

The previous prime is 42659293. The next prime is 42659297. The reversal of 42659296 is 69295624.

42659296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42659291) 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 7 ways as a sum of consecutive naturals, for example, 109470 + ... + 109858.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 242659296 is an apocalyptic number.

42659296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42659296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226000).

42659296 is an abundant number, since it is smaller than the sum of its proper divisors (45792704).

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

42659296 is a wasteful number, since it uses less digits than its factorization.

42659296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 563 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 42659296 is about 6531.4084239159. The cubic root of 42659296 is about 349.4120632657.

The spelling of 42659296 in words is "forty-two million, six hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 149 184 298 368 389 596 736 778 1192 1556 2384 3112 3427 4768 6224 6854 8947 12448 13708 17894 27416 35788 54832 57961 71576 109664 115922 143152 231844 286304 463688 927376 1333103 1854752 2666206 5332412 10664824 21329648 42659296