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442642356 = 223213945817
BaseRepresentation
bin11010011000100…
…010111110110100
31010211220120011100
4122120202332310
51401304023411
6111531210100
713653253332
oct3230427664
91124816140
10442642356
11207950832
121042a6930
1370921a70
1442b04b52
1528cd8456
hex1a622fb4

442642356 has 36 divisors (see below), whose sum is σ = 1204972132. Its totient is φ = 136197504.

The previous prime is 442642349. The next prime is 442642363. The reversal of 442642356 is 653246244.

442642356 is a `hidden beast` number, since 4 + 4 + 2 + 642 + 3 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (442642349) and next prime (442642363).

It can be written as a sum of positive squares in 2 ways, for example, as 99800100 + 342842256 = 9990^2 + 18516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 442642356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472441 + ... + 473376.

Almost surely, 2442642356 is an apocalyptic number.

It is an amenable number.

442642356 is an abundant number, since it is smaller than the sum of its proper divisors (762329776).

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

442642356 is a wasteful number, since it uses less digits than its factorization.

442642356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945840 (or 945835 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 442642356 is about 21039.0673747674. The cubic root of 442642356 is about 762.1099930087.

The spelling of 442642356 in words is "four hundred forty-two million, six hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 945817 1891634 2837451 3783268 5674902 8512353 11349804 12295621 17024706 24591242 34049412 36886863 49182484 73773726 110660589 147547452 221321178 442642356