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42138252 = 22331330013
BaseRepresentation
bin1010000010111…
…1101010001100
32221021211211000
42200233222030
541241411002
64103100300
71021112022
oct240575214
987254730
1042138252
1121871102
1212141690
138964ba0
14584c712
153a7561c
hex282fa8c

42138252 has 48 divisors (see below), whose sum is σ = 117654880. Its totient is φ = 12965184.

The previous prime is 42138241. The next prime is 42138253. The reversal of 42138252 is 25283124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42138253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13603 + ... + 16410.

Almost surely, 242138252 is an apocalyptic number.

It is an amenable number.

42138252 is an abundant number, since it is smaller than the sum of its proper divisors (75516628).

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

42138252 is a wasteful number, since it uses less digits than its factorization.

42138252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30039 (or 30031 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42138252 is about 6491.3983085311. The cubic root of 42138252 is about 347.9836496480.

The spelling of 42138252 in words is "forty-two million, one hundred thirty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 30013 60026 90039 120052 180078 270117 360156 390169 540234 780338 810351 1080468 1170507 1560676 1620702 2341014 3241404 3511521 4682028 7023042 10534563 14046084 21069126 42138252