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42023344 = 24111132113
BaseRepresentation
bin1010000001001…
…1100110110000
32221002000012011
42200103212300
541224221334
64100412304
71020123016
oct240234660
987060164
1042023344
11217a2840
12120a7094
1389247ac
14581c8b6
153a51564
hex28139b0

42023344 has 40 divisors (see below), whose sum is σ = 89650512. Its totient is φ = 18923520.

The previous prime is 42023309. The next prime is 42023347. The reversal of 42023344 is 44332024.

It is a super-2 number, since 2×420233442 = 3531922881884672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42023347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18832 + ... + 20944.

Almost surely, 242023344 is an apocalyptic number.

42023344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44825256).

42023344 is an abundant number, since it is smaller than the sum of its proper divisors (47627168).

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

42023344 is a wasteful number, since it uses less digits than its factorization.

42023344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 42023344 is about 6482.5414769209. The cubic root of 42023344 is about 347.6670528514.

Adding to 42023344 its reverse (44332024), we get a palindrome (86355368).

The spelling of 42023344 in words is "forty-two million, twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2113 2486 4226 4972 8452 9944 16904 19888 23243 33808 46486 92972 185944 238769 371888 477538 955076 1910152 2626459 3820304 5252918 10505836 21011672 42023344