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42160392 = 23331910273
BaseRepresentation
bin1010000011010…
…1000100001000
32221022222012000
42200311010020
541243113032
64103351000
71021233411
oct240650410
987288160
1042160392
11218867aa
1212152460
138971ca1
145856808
153a7be7c
hex2835108

42160392 has 64 divisors (see below), whose sum is σ = 123288000. Its totient is φ = 13312512.

The previous prime is 42160381. The next prime is 42160409. The reversal of 42160392 is 29306124.

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

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, 1033 + ... + 9240.

It is an arithmetic number, because the mean of its divisors is an integer number (1926375).

Almost surely, 242160392 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 42160392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61644000).

42160392 is an abundant number, since it is smaller than the sum of its proper divisors (81127608).

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

42160392 is a wasteful number, since it uses less digits than its factorization.

42160392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42160392 is about 6493.1034182431. The cubic root of 42160392 is about 348.0445840619.

The spelling of 42160392 in words is "forty-two million, one hundred sixty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 10273 20546 30819 41092 61638 82184 92457 123276 184914 195187 246552 277371 369828 390374 554742 585561 739656 780748 1109484 1171122 1561496 1756683 2218968 2342244 3513366 4684488 5270049 7026732 10540098 14053464 21080196 42160392