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42518944 = 2513179571
BaseRepresentation
bin1010001000110…
…0100110100000
32222000012000201
42202030212200
541341101234
64115154544
71024255636
oct242144640
988005021
1042518944
1122001126
12122a5a54
138a69250
14590b356
153aed314
hex288c9a0

42518944 has 48 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 19480320.

The previous prime is 42518933. The next prime is 42518963. The reversal of 42518944 is 44981524.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74179 + ... + 74749.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 242518944 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 42518944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405360).

42518944 is an abundant number, since it is smaller than the sum of its proper divisors (48291776).

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

42518944 is a wasteful number, since it uses less digits than its factorization.

42518944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 42518944 is about 6520.6551818050. The cubic root of 42518944 is about 349.0284457237.

The spelling of 42518944 in words is "forty-two million, five hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 179 208 358 416 571 716 1142 1432 2284 2327 2864 4568 4654 5728 7423 9136 9308 14846 18272 18616 29692 37232 59384 74464 102209 118768 204418 237536 408836 817672 1328717 1635344 2657434 3270688 5314868 10629736 21259472 42518944