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42039984 = 2437125119
BaseRepresentation
bin1010000001011…
…1101010110000
32221002212000110
42200113222300
541230234414
64101021320
71020222360
oct240275260
987085013
1042039984
1121804298
12120b4840
13892c23c
1458249a0
153a56459
hex2817ab0

42039984 has 40 divisors (see below), whose sum is σ = 124119040. Its totient is φ = 12011328.

The previous prime is 42039967. The next prime is 42040007. The reversal of 42039984 is 48993024.

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, 62224 + ... + 62895.

It is an arithmetic number, because the mean of its divisors is an integer number (3102976).

Almost surely, 242039984 is an apocalyptic number.

It is an amenable number.

42039984 is an abundant number, since it is smaller than the sum of its proper divisors (82079056).

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

42039984 is a wasteful number, since it uses less digits than its factorization.

42039984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125137 (or 125131 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 42039984 is about 6483.8247971394. The cubic root of 42039984 is about 347.7129354156.

It can be divided in two parts, 420 and 39984, that added together give a palindrome (40404).

The spelling of 42039984 in words is "forty-two million, thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 125119 250238 375357 500476 750714 875833 1000952 1501428 1751666 2001904 2627499 3002856 3503332 5254998 6005712 7006664 10509996 14013328 21019992 42039984