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42634632 = 2331993497
BaseRepresentation
bin1010001010100…
…0110110001000
32222020001201110
42202220312020
541403302012
64121450320
71025250135
oct242506610
988201643
1042634632
1122080037
12123409a0
138aa9ac1
14593b58c
153b2273c
hex28a8d88

42634632 has 32 divisors (see below), whose sum is σ = 112197600. Its totient is φ = 13463424.

The previous prime is 42634621. The next prime is 42634637. The reversal of 42634632 is 23643624.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42634632.

It is not an unprimeable number, because it can be changed into a prime (42634637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46293 + ... + 47204.

It is an arithmetic number, because the mean of its divisors is an integer number (3506175).

Almost surely, 242634632 is an apocalyptic number.

It is an amenable number.

42634632 is an abundant number, since it is smaller than the sum of its proper divisors (69562968).

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

42634632 is a wasteful number, since it uses less digits than its factorization.

42634632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93525 (or 93521 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 42634632 is about 6529.5200436173. The cubic root of 42634632 is about 349.3447113142.

The spelling of 42634632 in words is "forty-two million, six hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 93497 186994 280491 373988 560982 747976 1121964 1776443 2243928 3552886 5329329 7105772 10658658 14211544 21317316 42634632