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42513888 = 2533711969
BaseRepresentation
bin1010001000101…
…1010111100000
32221222221002110
42202023113200
541340421023
64115115320
71024235124
oct242132740
987887073
1042513888
1121aa834a
12122a2b40
138a66b61
145909584
153aeba93
hex288b5e0

42513888 has 48 divisors (see below), whose sum is σ = 114624720. Its totient is φ = 13787136.

The previous prime is 42513871. The next prime is 42513893. The reversal of 42513888 is 88831524.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 2433 + ... + 9536.

It is an arithmetic number, because the mean of its divisors is an integer number (2388015).

Almost surely, 242513888 is an apocalyptic number.

42513888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42513888 is an abundant number, since it is smaller than the sum of its proper divisors (72110832).

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

42513888 is a wasteful number, since it uses less digits than its factorization.

42513888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12019 (or 12011 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 42513888 is about 6520.2674791760. The cubic root of 42513888 is about 349.0146106531.

The spelling of 42513888 in words is "forty-two million, five hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 11969 23938 35907 47876 71814 95752 143628 191504 287256 383008 442853 574512 885706 1149024 1328559 1771412 2657118 3542824 5314236 7085648 10628472 14171296 21256944 42513888