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42074736 = 2431179687
BaseRepresentation
bin1010000010000…
…0001001110000
32221011121200120
42200200021300
541232342421
64101450240
71020425604
oct240401160
987147616
1042074736
1121828410
1212110980
138941cc2
145833504
153a618c6
hex2820270

42074736 has 40 divisors (see below), whose sum is σ = 118575744. Its totient is φ = 12749760.

The previous prime is 42074713. The next prime is 42074741. The reversal of 42074736 is 63747024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42074697 and 42074706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39316 + ... + 40371.

Almost surely, 242074736 is an apocalyptic number.

It is an amenable number.

42074736 is an abundant number, since it is smaller than the sum of its proper divisors (76501008).

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

42074736 is a wasteful number, since it uses less digits than its factorization.

42074736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79709 (or 79703 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 42074736 is about 6486.5041432192. The cubic root of 42074736 is about 347.8087203539.

The spelling of 42074736 in words is "forty-two million, seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 79687 159374 239061 318748 478122 637496 876557 956244 1274992 1753114 1912488 2629671 3506228 3824976 5259342 7012456 10518684 14024912 21037368 42074736