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42636384 = 2532721149
BaseRepresentation
bin1010001010100…
…1010001100000
32222020011010100
42202221101200
541403331014
64121502400
71025255220
oct242512140
988204110
1042636384
112208138a
1212341a00
138aaa83b
14593c080
153b23009
hex28a9460

42636384 has 72 divisors (see below), whose sum is σ = 138574800. Its totient is φ = 12181248.

The previous prime is 42636383. The next prime is 42636403. The reversal of 42636384 is 48363624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×426363842 = 3635722481190912, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42636383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8559 + ... + 12590.

It is an arithmetic number, because the mean of its divisors is an integer number (1924650).

Almost surely, 242636384 is an apocalyptic number.

It is an amenable number.

42636384 is an abundant number, since it is smaller than the sum of its proper divisors (95938416).

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

42636384 is a wasteful number, since it uses less digits than its factorization.

42636384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21172 (or 21161 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 42636384 is about 6529.6542021764. The cubic root of 42636384 is about 349.3494964972.

The spelling of 42636384 in words is "forty-two million, six hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 21149 42298 63447 84596 126894 148043 169192 190341 253788 296086 338384 380682 444129 507576 592172 676768 761364 888258 1015152 1184344 1332387 1522728 1776516 2030304 2368688 2664774 3045456 3553032 4737376 5329548 6090912 7106064 10659096 14212128 21318192 42636384