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442232032 = 25111677523
BaseRepresentation
bin11010010110111…
…110110011100000
31010211010201022011
4122112332303200
51401202411112
6111514322304
713646624134
oct3226766340
91124121264
10442232032
112076a0520
12104129394
137080a078
1442a393c4
1528c56aa7
hex1a5bece0

442232032 has 48 divisors (see below), whose sum is σ = 955608192. Its totient is φ = 199784320.

The previous prime is 442232009. The next prime is 442232047. The reversal of 442232032 is 230232244.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 442231994 and 442232012.

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, 55023 + ... + 62545.

It is an arithmetic number, because the mean of its divisors is an integer number (19908504).

Almost surely, 2442232032 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 442232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477804096).

442232032 is an abundant number, since it is smaller than the sum of its proper divisors (513376160).

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

442232032 is a wasteful number, since it uses less digits than its factorization.

442232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 442232032 is about 21029.3136359701. The cubic root of 442232032 is about 761.8744313541.

Adding to 442232032 its reverse (230232244), we get a palindrome (672464276).

The spelling of 442232032 in words is "four hundred forty-two million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 167 176 334 352 668 1336 1837 2672 3674 5344 7348 7523 14696 15046 29392 30092 58784 60184 82753 120368 165506 240736 331012 662024 1256341 1324048 2512682 2648096 5025364 10050728 13819751 20101456 27639502 40202912 55279004 110558008 221116016 442232032