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42036984 = 23321153077
BaseRepresentation
bin1010000001011…
…0111011111000
32221002200220100
42200112323320
541230140414
64100555400
71020210543
oct240267370
987080810
1042036984
1121802010
12120b2b60
13892aa72
14582385a
153a55609
hex2816ef8

42036984 has 48 divisors (see below), whose sum is σ = 124202520. Its totient is φ = 12738240.

The previous prime is 42036919. The next prime is 42036989. The reversal of 42036984 is 48963024.

It is a happy number.

42036984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42036989) 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, 25747 + ... + 27330.

Almost surely, 242036984 is an apocalyptic number.

42036984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42036984 is an abundant number, since it is smaller than the sum of its proper divisors (82165536).

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

42036984 is a wasteful number, since it uses less digits than its factorization.

42036984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53100 (or 53093 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42036984 is about 6483.5934480811. The cubic root of 42036984 is about 347.7046642134.

The spelling of 42036984 in words is "forty-two million, thirty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 53077 106154 159231 212308 318462 424616 477693 583847 636924 955386 1167694 1273848 1751541 1910772 2335388 3503082 3821544 4670776 5254623 7006164 10509246 14012328 21018492 42036984