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42000432 = 2432293821
BaseRepresentation
bin1010000000111…
…0000000110000
32221000211202120
42200032000300
541223003212
64100114240
71016666145
oct240160060
987024676
1042000432
1121787601
1212095980
138917236
1458143cc
153a4988c
hex280e030

42000432 has 40 divisors (see below), whose sum is σ = 109003440. Its totient is φ = 13935360.

The previous prime is 42000419. The next prime is 42000457. The reversal of 42000432 is 23400024.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9082 + ... + 12902.

It is an arithmetic number, because the mean of its divisors is an integer number (2725086).

Almost surely, 242000432 is an apocalyptic number.

It is an amenable number.

42000432 is an abundant number, since it is smaller than the sum of its proper divisors (67003008).

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

42000432 is a wasteful number, since it uses less digits than its factorization.

42000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42000432 is about 6480.7740278457. The cubic root of 42000432 is about 347.6038562651.

Adding to 42000432 its reverse (23400024), we get a palindrome (65400456).

The spelling of 42000432 in words is "forty-two million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1832 2748 3664 3821 5496 7642 10992 11463 15284 22926 30568 45852 61136 91704 183408 875009 1750018 2625027 3500036 5250054 7000072 10500108 14000144 21000216 42000432