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42045912 = 2333375261
BaseRepresentation
bin1010000001100…
…1000111011000
32221010011011000
42200121013120
541230432122
64101105000
71020245556
oct240310730
987104130
1042045912
1121808797
12120b8160
138931b4c
145826bd6
153a580ac
hex28191d8

42045912 has 64 divisors (see below), whose sum is σ = 119973600. Its totient is φ = 13633920.

The previous prime is 42045901. The next prime is 42045943. The reversal of 42045912 is 21954024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5362 + ... + 10622.

Almost surely, 242045912 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 42045912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59986800).

42045912 is an abundant number, since it is smaller than the sum of its proper divisors (77927688).

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

42045912 is a wasteful number, since it uses less digits than its factorization.

42045912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42045912 is about 6484.2819186090. The cubic root of 42045912 is about 347.7292781542.

Adding to 42045912 its reverse (21954024), we get a palindrome (63999936).

The spelling of 42045912 in words is "forty-two million, forty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 5261 7992 10522 15783 21044 31566 42088 47349 63132 94698 126264 142047 189396 194657 284094 378792 389314 568188 583971 778628 1136376 1167942 1557256 1751913 2335884 3503826 4671768 5255739 7007652 10511478 14015304 21022956 42045912