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42165992 = 23112383251
BaseRepresentation
bin1010000011011…
…0011011101000
32221100020212102
42200312123220
541243302432
64103432532
71021255631
oct240663350
987306772
1042165992
112188aa30
1212155748
1389746bb
145858888
153a7d962
hex28366e8

42165992 has 64 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 18040000.

The previous prime is 42165989. The next prime is 42166009. The reversal of 42165992 is 29956124.

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, 167867 + ... + 168117.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 242165992 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 42165992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

42165992 is an abundant number, since it is smaller than the sum of its proper divisors (49279768).

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

42165992 is a wasteful number, since it uses less digits than its factorization.

42165992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 42165992 is about 6493.5346306923. The cubic root of 42165992 is about 348.0599931801.

The spelling of 42165992 in words is "forty-two million, one hundred sixty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 23 44 46 83 88 92 166 184 251 253 332 502 506 664 913 1004 1012 1826 1909 2008 2024 2761 3652 3818 5522 5773 7304 7636 11044 11546 15272 20833 20999 22088 23092 41666 41998 46184 63503 83332 83996 127006 166664 167992 229163 254012 458326 479159 508024 916652 958318 1833304 1916636 3833272 5270749 10541498 21082996 42165992