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42522060 = 22357137739
BaseRepresentation
bin1010001000110…
…1010111001100
32222000100022010
42202031113030
541341201220
64115221220
71024301010
oct242152714
988010263
1042522060
11220034a9
12122a7810
138a6a7a9
14590c540
153aee1e0
hex288d5cc

42522060 has 96 divisors (see below), whose sum is σ = 137249280. Its totient is φ = 9635328.

The previous prime is 42522031. The next prime is 42522061. The reversal of 42522060 is 6022524.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42522061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57171 + ... + 57909.

It is an arithmetic number, because the mean of its divisors is an integer number (1429680).

Almost surely, 242522060 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 42522060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68624640).

42522060 is an abundant number, since it is smaller than the sum of its proper divisors (94727220).

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

42522060 is a wasteful number, since it uses less digits than its factorization.

42522060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42522060 is about 6520.8941104729. The cubic root of 42522060 is about 349.0369716965.

Adding to 42522060 its reverse (6022524), we get a palindrome (48544584).

The spelling of 42522060 in words is "forty-two million, five hundred twenty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 411 420 548 685 739 822 959 1370 1478 1644 1918 2055 2217 2740 2877 2956 3695 3836 4110 4434 4795 5173 5754 7390 8220 8868 9590 10346 11085 11508 14385 14780 15519 19180 20692 22170 25865 28770 31038 44340 51730 57540 62076 77595 101243 103460 155190 202486 303729 310380 404972 506215 607458 708701 1012430 1214916 1417402 1518645 2024860 2126103 2834804 3037290 3543505 4252206 6074580 7087010 8504412 10630515 14174020 21261030 42522060