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42229432 = 2373789229
BaseRepresentation
bin1010000100010…
…1111010111000
32221110110220001
42201011322320
541302320212
64105042344
71021641610
oct241057270
987413801
1042229432
1121923663
12121863b4
13899753b
145873a40
153a92657
hex2845eb8

42229432 has 64 divisors (see below), whose sum is σ = 94392000. Its totient is φ = 17335296.

The previous prime is 42229417. The next prime is 42229441. The reversal of 42229432 is 23492224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 42229432.

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, 184294 + ... + 184522.

It is an arithmetic number, because the mean of its divisors is an integer number (1474875).

Almost surely, 242229432 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 42229432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47196000).

42229432 is an abundant number, since it is smaller than the sum of its proper divisors (52162568).

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

42229432 is a wasteful number, since it uses less digits than its factorization.

42229432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 42229432 is about 6498.4176535523. The cubic root of 42229432 is about 348.2344612791.

The spelling of 42229432 in words is "forty-two million, two hundred twenty-nine thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 89 148 178 229 259 296 356 458 518 623 712 916 1036 1246 1603 1832 2072 2492 3206 3293 4984 6412 6586 8473 12824 13172 16946 20381 23051 26344 33892 40762 46102 59311 67784 81524 92204 118622 142667 163048 184408 237244 285334 474488 570668 754097 1141336 1508194 3016388 5278679 6032776 10557358 21114716 42229432