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42238944 = 25321167199
BaseRepresentation
bin1010000100100…
…0001111100000
32221110221221100
42201020033200
541303121234
64105154400
71022011416
oct241101740
987427840
1042238944
112192a820
121218ba00
13899b977
1458772b6
153a95399
hex28483e0

42238944 has 144 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 12545280.

The previous prime is 42238927. The next prime is 42238969. The reversal of 42238944 is 44983224.

It is a tau number, because it is divible by the number of its divisors (144).

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 a junction number, because it is equal to n+sod(n) for n = 42238899 and 42238908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212157 + ... + 212355.

It is an arithmetic number, because the mean of its divisors is an integer number (928200).

Almost surely, 242238944 is an apocalyptic number.

42238944 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 42238944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

42238944 is an abundant number, since it is smaller than the sum of its proper divisors (91421856).

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

42238944 is a wasteful number, since it uses less digits than its factorization.

42238944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42238944 is about 6499.1494828170. The cubic root of 42238944 is about 348.2606054269.

The spelling of 42238944 in words is "forty-two million, two hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 67 72 88 96 99 132 134 144 176 198 199 201 264 268 288 352 396 398 402 528 536 597 603 737 792 796 804 1056 1072 1194 1206 1474 1584 1592 1608 1791 2144 2189 2211 2388 2412 2948 3168 3184 3216 3582 4378 4422 4776 4824 5896 6368 6432 6567 6633 7164 8756 8844 9552 9648 11792 13134 13266 13333 14328 17512 17688 19104 19296 19701 23584 26268 26532 26666 28656 35024 35376 39402 39999 52536 53064 53332 57312 70048 70752 78804 79998 105072 106128 106664 119997 146663 157608 159996 210144 212256 213328 239994 293326 315216 319992 426656 439989 479988 586652 630432 639984 879978 959976 1173304 1279968 1319967 1759956 1919952 2346608 2639934 3519912 3839904 4693216 5279868 7039824 10559736 14079648 21119472 42238944