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42268884 = 22371373673
BaseRepresentation
bin1010000100111…
…1100011010100
32221112111000020
42201033203110
541310101014
64105545140
71022164620
oct241174324
987474006
1042268884
1121950269
12121a51b0
1389ac498
145884180
153a9e1a9
hex284f8d4

42268884 has 48 divisors (see below), whose sum is σ = 113570688. Its totient is φ = 11985408.

The previous prime is 42268883. The next prime is 42268907. The reversal of 42268884 is 48886224.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42268883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9672 + ... + 13344.

It is an arithmetic number, because the mean of its divisors is an integer number (2366056).

Almost surely, 242268884 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 42268884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56785344).

42268884 is an abundant number, since it is smaller than the sum of its proper divisors (71301804).

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

42268884 is a wasteful number, since it uses less digits than its factorization.

42268884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3822 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 42268884 is about 6501.4524531062. The cubic root of 42268884 is about 348.3428712136.

It can be divided in two parts, 42 and 268884, that multiplied together give a triangular number (11293128 = T4752).

The spelling of 42268884 in words is "forty-two million, two hundred sixty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3673 3836 5754 7346 11019 11508 14692 22038 25711 44076 51422 77133 102844 154266 308532 503201 1006402 1509603 2012804 3019206 3522407 6038412 7044814 10567221 14089628 21134442 42268884