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442325104 = 24137329131
BaseRepresentation
bin11010010111010…
…101100001110000
31010211022102222021
4122113111201300
51401213400404
6111520321224
713650462364
oct3227254160
91124272867
10442325104
11207754441
12104173214
1370840540
1442a612a4
1528c74454
hex1a5d5870

442325104 has 40 divisors (see below), whose sum is σ = 935603312. Its totient is φ = 201346560.

The previous prime is 442325099. The next prime is 442325123. The reversal of 442325104 is 401523244.

It is a happy number.

It is a super-2 number, since 2×4423251042 = 391302995257221632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619 + ... + 29749.

Almost surely, 2442325104 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 442325104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467801656).

442325104 is an abundant number, since it is smaller than the sum of its proper divisors (493278208).

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

442325104 is a wasteful number, since it uses less digits than its factorization.

442325104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29225 (or 29219 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 442325104 is about 21031.5264305756. The cubic root of 442325104 is about 761.9278755478.

Adding to 442325104 its reverse (401523244), we get a palindrome (843848348).

The spelling of 442325104 in words is "four hundred forty-two million, three hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 7592 15184 29131 58262 116524 233048 378703 466096 757406 1514812 2126563 3029624 4253126 6059248 8506252 17012504 27645319 34025008 55290638 110581276 221162552 442325104