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42524672 = 21329179
BaseRepresentation
bin1010001000111…
…0000000000000
32222000110212212
42202032000000
541341242142
64115241252
71024311431
oct242160000
988013785
1042524672
1122005463
12122a9228
138a6ba38
14590d488
153aeed82
hex288e000

42524672 has 56 divisors (see below), whose sum is σ = 88468200. Its totient is φ = 20414464.

The previous prime is 42524639. The next prime is 42524693. The reversal of 42524672 is 27642524.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (26880) is a multiple of the sum of its prime divisors (210).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237479 + ... + 237657.

Almost surely, 242524672 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 42524672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44234100).

42524672 is an abundant number, since it is smaller than the sum of its proper divisors (45943528).

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

42524672 is an equidigital number, since it uses as much as digits as its factorization.

42524672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 42524672 is about 6521.0943866808. The cubic root of 42524672 is about 349.0441183078.

The spelling of 42524672 in words is "forty-two million, five hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 179 232 256 358 464 512 716 928 1024 1432 1856 2048 2864 3712 4096 5191 5728 7424 8192 10382 11456 14848 20764 22912 29696 41528 45824 59392 83056 91648 118784 166112 183296 237568 332224 366592 664448 733184 1328896 1466368 2657792 5315584 10631168 21262336 42524672