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442203392 = 2814911593
BaseRepresentation
bin11010010110110…
…111110100000000
31010211002021000102
4122112313310000
51401201002032
6111513541532
713646444501
oct3226676400
91124067012
10442203392
11207680a54
121041148a8
13707ca017
1442a2cba8
1528c4d362
hex1a5b7d00

442203392 has 36 divisors (see below), whose sum is σ = 888680100. Its totient is φ = 219598848.

The previous prime is 442203373. The next prime is 442203431. The reversal of 442203392 is 293302244.

It can be written as a sum of positive squares in 2 ways, for example, as 248882176 + 193321216 = 15776^2 + 13904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32348 + ... + 43940.

Almost surely, 2442203392 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 442203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444340050).

442203392 is an abundant number, since it is smaller than the sum of its proper divisors (446476708).

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

442203392 is a wasteful number, since it uses less digits than its factorization.

442203392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11744 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 442203392 is about 21028.6326707183. The cubic root of 442203392 is about 761.8579840646.

The spelling of 442203392 in words is "four hundred forty-two million, two hundred three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 596 1192 2384 4768 9536 11593 19072 23186 38144 46372 92744 185488 370976 741952 1483904 1727357 2967808 3454714 6909428 13818856 27637712 55275424 110550848 221101696 442203392