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42265836 = 22322934007
BaseRepresentation
bin1010000100111…
…0110011101100
32221112022211100
42201032303230
541310001321
64105523100
71022153004
oct241166354
987468740
1042265836
1121948a48
12121a3490
1389aac92
145883004
153a9d326
hex284ecec

42265836 has 36 divisors (see below), whose sum is σ = 107230032. Its totient is φ = 14037024.

The previous prime is 42265829. The next prime is 42265837. The reversal of 42265836 is 63856224.

42265836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×422658363 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42265836.

It is not an unprimeable number, because it can be changed into a prime (42265837) 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 11 ways as a sum of consecutive naturals, for example, 8545 + ... + 12551.

It is an arithmetic number, because the mean of its divisors is an integer number (2978612).

Almost surely, 242265836 is an apocalyptic number.

It is an amenable number.

42265836 is an abundant number, since it is smaller than the sum of its proper divisors (64964196).

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

42265836 is a wasteful number, since it uses less digits than its factorization.

42265836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4305 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42265836 is about 6501.2180397215. The cubic root of 42265836 is about 348.3344980362.

The spelling of 42265836 in words is "forty-two million, two hundred sixty-five thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3516 4007 5274 8014 10548 12021 16028 24042 36063 48084 72126 144252 1174051 2348102 3522153 4696204 7044306 10566459 14088612 21132918 42265836