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442397256 = 233717191811
BaseRepresentation
bin11010010111100…
…111001001001000
31010211110002221120
4122113213021020
51401223203011
6111522035240
713651212630
oct3227471110
91124402846
10442397256
112077a3674
121041a8b20
1370867332
1442a7d6c0
1528c8aa06
hex1a5e7248

442397256 has 128 divisors (see below), whose sum is σ = 1347010560. Its totient is φ = 118195200.

The previous prime is 442397243. The next prime is 442397299. The reversal of 442397256 is 652793244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545091 + ... + 545901.

It is an arithmetic number, because the mean of its divisors is an integer number (10523520).

Almost surely, 2442397256 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 442397256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673505280).

442397256 is an abundant number, since it is smaller than the sum of its proper divisors (904613304).

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

442397256 is a wasteful number, since it uses less digits than its factorization.

442397256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 442397256 is about 21033.2416902388. The cubic root of 442397256 is about 761.9693018130.

The spelling of 442397256 in words is "four hundred forty-two million, three hundred ninety-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 191 204 238 357 382 408 476 573 714 764 811 952 1146 1337 1428 1528 1622 2292 2433 2674 2856 3244 3247 4011 4584 4866 5348 5677 6488 6494 8022 9732 9741 10696 11354 12988 13787 16044 17031 19464 19482 22708 22729 25976 27574 32088 34062 38964 41361 45416 45458 55148 68124 68187 77928 82722 90916 96509 110296 136248 136374 154901 165444 181832 193018 272748 289527 309802 330888 386036 464703 545496 579054 619604 772072 929406 1084307 1158108 1239208 1858812 2168614 2316216 2633317 3252921 3717624 4337228 5266634 6505842 7899951 8674456 10533268 13011684 15799902 18433219 21066536 26023368 31599804 36866438 55299657 63199608 73732876 110599314 147465752 221198628 442397256