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42228592 = 247261883
BaseRepresentation
bin1010000100010…
…1101101110000
32221110102201221
42201011231300
541302303332
64105034424
71021636300
oct241055560
987412657
1042228592
1121922a6a
1212185a14
138997043
145873600
153a92297
hex2845b70

42228592 has 60 divisors (see below), whose sum is σ = 96845736. Its totient is φ = 17781120.

The previous prime is 42228587. The next prime is 42228679. The reversal of 42228592 is 29582224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47383 + ... + 48265.

Almost surely, 242228592 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 42228592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48422868).

42228592 is an abundant number, since it is smaller than the sum of its proper divisors (54617144).

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

42228592 is a wasteful number, since it uses less digits than its factorization.

42228592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 953 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 42228592 is about 6498.3530221126. The cubic root of 42228592 is about 348.2321523138.

The spelling of 42228592 in words is "forty-two million, two hundred twenty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 392 427 488 784 854 883 976 1708 1766 2989 3416 3532 5978 6181 6832 7064 11956 12362 14128 23912 24724 43267 47824 49448 53863 86534 98896 107726 173068 215452 346136 377041 430904 692272 754082 861808 1508164 2639287 3016328 5278574 6032656 10557148 21114296 42228592