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444782052 = 2232111386399
BaseRepresentation
bin11010100000101…
…101010111100100
31010222221021021100
4122200231113210
51402331011202
6112045120100
714010404451
oct3240552744
91128837240
10444782052
11209082380
12104b59030
13711c0960
1443100828
15290ac41c
hex1a82d5e4

444782052 has 72 divisors (see below), whose sum is σ = 1320883200. Its totient is φ = 124413120.

The previous prime is 444782047. The next prime is 444782053. The reversal of 444782052 is 250287444.

444782052 is a `hidden beast` number, since 4 + 447 + 8 + 205 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 444781998 and 444782016.

It is not an unprimeable number, because it can be changed into a prime (444782053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38052 + ... + 48347.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2444782052 is an apocalyptic number.

It is an amenable number.

444782052 is an abundant number, since it is smaller than the sum of its proper divisors (876101148).

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

444782052 is a wasteful number, since it uses less digits than its factorization.

444782052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86433 (or 86428 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 444782052 is about 21089.8566140218. The cubic root of 444782052 is about 763.3360115507.

The spelling of 444782052 in words is "four hundred forty-four million, seven hundred eighty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 86399 172798 259197 345596 518394 777591 950389 1036788 1123187 1555182 1900778 2246374 2851167 3110364 3369561 3801556 4492748 5702334 6739122 8553501 10108683 11404668 12355057 13478244 17107002 20217366 24710114 34214004 37065171 40434732 49420228 74130342 111195513 148260684 222391026 444782052