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42190992 = 2432292993
BaseRepresentation
bin1010000011110…
…0100010010000
32221101112011100
42200330202100
541300102432
64104144400
71021421544
oct240744220
987345140
1042190992
11218a7798
1212168100
138982bac
145863a24
153a8607c
hex283c890

42190992 has 30 divisors (see below), whose sum is σ = 118076582. Its totient is φ = 14063616.

The previous prime is 42190987. The next prime is 42190999. The reversal of 42190992 is 29909124.

It can be written as a sum of positive squares in only one way, i.e., 41525136 + 665856 = 6444^2 + 816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42190999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146353 + ... + 146640.

Almost surely, 242190992 is an apocalyptic number.

It is an amenable number.

42190992 is an abundant number, since it is smaller than the sum of its proper divisors (75885590).

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

42190992 is a wasteful number, since it uses less digits than its factorization.

42190992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293007 (or 292998 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 42190992 is about 6495.4593371062. The cubic root of 42190992 is about 348.1287672505.

The spelling of 42190992 in words is "forty-two million, one hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 292993 585986 878979 1171972 1757958 2343944 2636937 3515916 4687888 5273874 7031832 10547748 14063664 21095496 42190992