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42044664 = 23329193313
BaseRepresentation
bin1010000001100…
…0110011111000
32221010002102210
42200120303320
541230412124
64101055120
71020242124
oct240306370
987102383
1042044664
1121807862
12120b74a0
1389313cc
145826584
153a57a29
hex2818cf8

42044664 has 64 divisors (see below), whose sum is σ = 109648800. Its totient is φ = 13418496.

The previous prime is 42044659. The next prime is 42044699. The reversal of 42044664 is 46644024.

42044664 = T111 + T112 + ... + T632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134172 + ... + 134484.

Almost surely, 242044664 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 42044664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54824400).

42044664 is an abundant number, since it is smaller than the sum of its proper divisors (67604136).

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

42044664 is a wasteful number, since it uses less digits than its factorization.

42044664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 42044664 is about 6484.1856851882. The cubic root of 42044664 is about 347.7258377053.

Adding to 42044664 its reverse (46644024), we get a palindrome (88688688).

The spelling of 42044664 in words is "forty-two million, forty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 193 232 313 348 386 579 626 696 772 939 1158 1252 1544 1878 2316 2504 3756 4632 5597 7512 9077 11194 16791 18154 22388 27231 33582 36308 44776 54462 60409 67164 72616 108924 120818 134328 181227 217848 241636 362454 483272 724908 1449816 1751861 3503722 5255583 7007444 10511166 14014888 21022332 42044664