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42919104 = 263239719
BaseRepresentation
bin1010001110111…
…0010011000000
32222202111221110
42203232103000
541441402404
64131523320
71030543404
oct243562300
988674843
1042919104
1122254838
1212459540
138b79427
1459b3104
153b7bb89
hex28ee4c0

42919104 has 56 divisors (see below), whose sum is σ = 118506240. Its totient is φ = 13682944.

The previous prime is 42919099. The next prime is 42919111. The reversal of 42919104 is 40191924.

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 7 ways as a sum of consecutive naturals, for example, 444 + ... + 9275.

Almost surely, 242919104 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 42919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59253120).

42919104 is an abundant number, since it is smaller than the sum of its proper divisors (75587136).

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

42919104 is a wasteful number, since it uses less digits than its factorization.

42919104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9757 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 42919104 is about 6551.2673583056. The cubic root of 42919104 is about 350.1199697575.

The spelling of 42919104 in words is "forty-two million, nine hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 9719 19438 29157 38876 58314 77752 116628 155504 223537 233256 311008 447074 466512 622016 670611 894148 933024 1341222 1788296 1866048 2682444 3576592 5364888 7153184 10729776 14306368 21459552 42919104