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42053682 = 231117371013
BaseRepresentation
bin1010000001101…
…1000000110010
32221010112210210
42200123000302
541231204212
64101204550
71020310326
oct240330062
987115723
1042053682
1121813610
1212100756
138935548
145829986
153a5a53c
hex281b032

42053682 has 64 divisors (see below), whose sum is σ = 99874944. Its totient is φ = 11658240.

The previous prime is 42053653. The next prime is 42053717. The reversal of 42053682 is 28635024.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41008 + ... + 42020.

It is an arithmetic number, because the mean of its divisors is an integer number (1560546).

Almost surely, 242053682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42053682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49937472).

42053682 is an abundant number, since it is smaller than the sum of its proper divisors (57821262).

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

42053682 is a wasteful number, since it uses less digits than its factorization.

42053682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42053682 is about 6484.8810320622. The cubic root of 42053682 is about 347.7506967253.

It can be divided in two parts, 4205 and 3682, that added together give a palindrome (7887).

The spelling of 42053682 in words is "forty-two million, fifty-three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 374 407 561 629 814 1013 1122 1221 1258 1887 2026 2442 3039 3774 6078 6919 11143 13838 17221 20757 22286 33429 34442 37481 41514 51663 66858 74962 103326 112443 189431 224886 378862 412291 568293 637177 824582 1136586 1236873 1274354 1911531 2473746 3823062 7008947 14017894 21026841 42053682