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42047124 = 2237736857
BaseRepresentation
bin1010000001100…
…1011010010100
32221010012210220
42200121122110
541231001444
64101114340
71020252240
oct240313224
987105726
1042047124
1121809699
12120b89b0
138932572
145827420
153a58619
hex2819694

42047124 has 48 divisors (see below), whose sum is σ = 113678208. Its totient is φ = 11847168.

The previous prime is 42047111. The next prime is 42047141. The reversal of 42047124 is 42174024.

It is a junction number, because it is equal to n+sod(n) for n = 42047094 and 42047103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704 + ... + 9560.

It is an arithmetic number, because the mean of its divisors is an integer number (2368296).

Almost surely, 242047124 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 42047124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56839104).

42047124 is an abundant number, since it is smaller than the sum of its proper divisors (71631084).

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

42047124 is a wasteful number, since it uses less digits than its factorization.

42047124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 42047124 is about 6484.3753746988. The cubic root of 42047124 is about 347.7326192942.

The spelling of 42047124 in words is "forty-two million, forty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 6857 13714 20571 27428 41142 47999 82284 95998 143997 191996 287994 500561 575988 1001122 1501683 2002244 3003366 3503927 6006732 7007854 10511781 14015708 21023562 42047124