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42674220 = 22325793001
BaseRepresentation
bin1010001011001…
…0100000101100
32222022002000200
42202302200230
541411033340
64122353500
71025503431
oct242624054
988262020
1042674220
11220a7856
121235b890
138ac1b24
14594bb88
153b2e330
hex28b282c

42674220 has 72 divisors (see below), whose sum is σ = 131127360. Its totient is φ = 11232000.

The previous prime is 42674207. The next prime is 42674221. The reversal of 42674220 is 2247624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42674221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12720 + ... + 15720.

Almost surely, 242674220 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 42674220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65563680).

42674220 is an abundant number, since it is smaller than the sum of its proper divisors (88453140).

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

42674220 is a wasteful number, since it uses less digits than its factorization.

42674220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42674220 is about 6532.5508034764. The cubic root of 42674220 is about 349.4528048167.

The spelling of 42674220 in words is "forty-two million, six hundred seventy-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3001 3555 4740 6002 7110 9003 12004 14220 15005 18006 27009 30010 36012 45015 54018 60020 90030 108036 135045 180060 237079 270090 474158 540180 711237 948316 1185395 1422474 2133711 2370790 2844948 3556185 4267422 4741580 7112370 8534844 10668555 14224740 21337110 42674220