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42644112 = 2437218131
BaseRepresentation
bin1010001010101…
…1001010010000
32222020112201120
42202223022100
541404102422
64122002240
71025316600
oct242531220
988215646
1042644112
1122087175
1212346380
138ab1204
145940c00
153b2545c
hex28ab290

42644112 has 60 divisors (see below), whose sum is σ = 128156976. Its totient is φ = 12183360.

The previous prime is 42644111. The next prime is 42644137. The reversal of 42644112 is 21144624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (42644111) 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, 6714 + ... + 11417.

Almost surely, 242644112 is an apocalyptic number.

42644112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42644112 is an abundant number, since it is smaller than the sum of its proper divisors (85512864).

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

42644112 is a wasteful number, since it uses less digits than its factorization.

42644112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18156 (or 18143 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 42644112 is about 6530.2459371757. The cubic root of 42644112 is about 349.3706021786.

Adding to 42644112 its reverse (21144624), we get a palindrome (63788736).

The spelling of 42644112 in words is "forty-two million, six hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 18131 36262 54393 72524 108786 126917 145048 217572 253834 290096 380751 435144 507668 761502 870288 888419 1015336 1523004 1776838 2030672 2665257 3046008 3553676 5330514 6092016 7107352 10661028 14214704 21322056 42644112