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42619392 = 29333083
BaseRepresentation
bin1010001010010…
…1001000000000
32222012021211000
42202211020000
541402310032
64121252000
71025154534
oct242451000
988167730
1042619392
112206a642
1212334000
138aa2b9a
145935bc4
153b1ce7c
hex28a5200

42619392 has 80 divisors (see below), whose sum is σ = 126197280. Its totient is φ = 14201856.

The previous prime is 42619387. The next prime is 42619393. The reversal of 42619392 is 29391624.

42619392 is a `hidden beast` number, since 4 + 2 + 619 + 39 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42619393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12283 + ... + 15365.

It is an arithmetic number, because the mean of its divisors is an integer number (1577466).

Almost surely, 242619392 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 42619392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63098640).

42619392 is an abundant number, since it is smaller than the sum of its proper divisors (83577888).

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

42619392 is an equidigital number, since it uses as much as digits as its factorization.

42619392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3088 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 42619392 is about 6528.3529316360. The cubic root of 42619392 is about 349.3030812461.

The spelling of 42619392 in words is "forty-two million, six hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3083 3456 4608 6166 6912 9249 12332 13824 18498 24664 27747 36996 49328 55494 73992 83241 98656 110988 147984 166482 197312 221976 295968 332964 394624 443952 591936 665928 789248 887904 1183872 1331856 1578496 1775808 2367744 2663712 3551616 4735488 5327424 7103232 10654848 14206464 21309696 42619392