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42172260 = 22351324159
BaseRepresentation
bin1010000011011…
…1111101100100
32221100120110120
42200313331210
541244003020
64103521540
71021313124
oct240677544
987316416
1042172260
1121894709
12121592b0
138977500
14585ac84
153a80740
hex2837f64

42172260 has 72 divisors (see below), whose sum is σ = 127895040. Its totient is φ = 10378368.

The previous prime is 42172219. The next prime is 42172297. The reversal of 42172260 is 6227124.

It is a self number, because there is not a number n which added to its sum of digits gives 42172260.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8061 + ... + 12219.

It is an arithmetic number, because the mean of its divisors is an integer number (1776320).

Almost surely, 242172260 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 42172260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63947520).

42172260 is an abundant number, since it is smaller than the sum of its proper divisors (85722780).

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

42172260 is a wasteful number, since it uses less digits than its factorization.

42172260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42172260 is about 6494.0172466663. The cubic root of 42172260 is about 348.0772387678.

Adding to 42172260 its reverse (6227124), we get a palindrome (48399384).

The spelling of 42172260 in words is "forty-two million, one hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 4159 5070 8318 10140 12477 16636 20795 24954 41590 49908 54067 62385 83180 108134 124770 162201 216268 249540 270335 324402 540670 648804 702871 811005 1081340 1405742 1622010 2108613 2811484 3244020 3514355 4217226 7028710 8434452 10543065 14057420 21086130 42172260