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442325124 = 223759857
BaseRepresentation
bin11010010111010…
…101100010000100
31010211022110000000
4122113111202010
51401213400444
6111520321300
713650462423
oct3227254204
91124273000
10442325124
1120775445a
12104173230
1370840557
1442a612ba
1528c74469
hex1a5d5884

442325124 has 96 divisors (see below), whose sum is σ = 1181980800. Its totient is φ = 144773568.

The previous prime is 442325123. The next prime is 442325137. The reversal of 442325124 is 421523244.

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 (442325123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515704 + ... + 516560.

It is an arithmetic number, because the mean of its divisors is an integer number (12312300).

Almost surely, 2442325124 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 442325124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590990400).

442325124 is an abundant number, since it is smaller than the sum of its proper divisors (739655676).

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

442325124 is an equidigital number, since it uses as much as digits as its factorization.

442325124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 921 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 442325124 is about 21031.5269060523. The cubic root of 442325124 is about 761.9278870315.

Adding to 442325124 its reverse (421523244), we get a palindrome (863848368).

The spelling of 442325124 in words is "four hundred forty-two million, three hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 729 857 972 1062 1458 1593 1714 2124 2187 2571 2916 3186 3428 4374 4779 5142 6372 7713 8748 9558 10284 14337 15426 19116 23139 28674 30852 43011 46278 50563 57348 69417 86022 92556 101126 129033 138834 151689 172044 202252 208251 258066 277668 303378 416502 455067 516132 606756 624753 833004 910134 1249506 1365201 1820268 1874259 2499012 2730402 3748518 4095603 5460804 7497036 8191206 12286809 16382412 24573618 36860427 49147236 73720854 110581281 147441708 221162562 442325124