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42035664 = 2431179613
BaseRepresentation
bin1010000001011…
…0100111010000
32221002122002110
42200112213100
541230120124
64100545320
71020203646
oct240264720
987078073
1042035664
1121801020
12120b2240
13892a298
145823196
153a55029
hex28169d0

42035664 has 40 divisors (see below), whose sum is σ = 118465632. Its totient is φ = 12737920.

The previous prime is 42035647. The next prime is 42035677. The reversal of 42035664 is 46653024.

42035664 is nontrivially palindromic in base 13.

It is a congruent number.

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, 39279 + ... + 40334.

Almost surely, 242035664 is an apocalyptic number.

42035664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42035664 is an abundant number, since it is smaller than the sum of its proper divisors (76429968).

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

42035664 is a wasteful number, since it uses less digits than its factorization.

42035664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79635 (or 79629 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 42035664 is about 6483.4916518802. The cubic root of 42035664 is about 347.7010247598.

Adding to 42035664 its reverse (46653024), we get a palindrome (88688688).

The spelling of 42035664 in words is "forty-two million, thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 79613 159226 238839 318452 477678 636904 875743 955356 1273808 1751486 1910712 2627229 3502972 3821424 5254458 7005944 10508916 14011888 21017832 42035664