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442303524 = 2233132313697
BaseRepresentation
bin11010010111010…
…000010000100100
31010211021100101000
4122113100100210
51401212203044
6111520033300
713650342435
oct3227202044
91124240330
10442303524
1120773a203
12104162830
1370833780
1442a5748c
1528c6cd69
hex1a5d0424

442303524 has 96 divisors (see below), whose sum is σ = 1288707840. Its totient is φ = 130166784.

The previous prime is 442303487. The next prime is 442303529. The reversal of 442303524 is 425303244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (442303529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25444 + ... + 39140.

It is an arithmetic number, because the mean of its divisors is an integer number (13424040).

Almost surely, 2442303524 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 442303524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644353920).

442303524 is an abundant number, since it is smaller than the sum of its proper divisors (846404316).

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

442303524 is a wasteful number, since it uses less digits than its factorization.

442303524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13746 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 442303524 is about 21031.0133849988. The cubic root of 442303524 is about 761.9154844575.

Adding to 442303524 its reverse (425303244), we get a palindrome (867606768).

The spelling of 442303524 in words is "four hundred forty-two million, three hundred three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1794 2484 2691 3588 5382 8073 10764 13697 16146 27394 32292 41091 54788 82182 123273 164364 178061 246546 315031 356122 369819 493092 534183 630062 712244 739638 945093 1068366 1260124 1479276 1602549 1890186 2136732 2835279 3205098 3780372 4095403 4807647 5670558 6410196 8190806 8505837 9615294 11341116 12286209 16381612 17011674 19230588 24572418 34023348 36858627 49144836 73717254 110575881 147434508 221151762 442303524