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444784452 = 223719278687
BaseRepresentation
bin11010100000101…
…101111101000100
31010222221101120020
4122200231331010
51402331100302
6112045135140
714010414450
oct3240557504
91128841506
10444784452
11209084162
12104b5a4b0
13711c1a88
1443101660
15290acebc
hex1a82df44

444784452 has 48 divisors (see below), whose sum is σ = 1248522240. Its totient is φ = 120392352.

The previous prime is 444784429. The next prime is 444784469. The reversal of 444784452 is 254487444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137748 + ... + 140939.

It is an arithmetic number, because the mean of its divisors is an integer number (26010880).

Almost surely, 2444784452 is an apocalyptic number.

444784452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

444784452 is an abundant number, since it is smaller than the sum of its proper divisors (803737788).

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

444784452 is a wasteful number, since it uses less digits than its factorization.

444784452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278720 (or 278718 counting only the distinct ones).

The product of its digits is 573440, while the sum is 42.

The square root of 444784452 is about 21089.9135133362. The cubic root of 444784452 is about 763.3373845101.

The spelling of 444784452 in words is "four hundred forty-four million, seven hundred eighty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 278687 557374 836061 1114748 1672122 1950809 3344244 3901618 5295053 5852427 7803236 10590106 11704854 15885159 21180212 23409708 31770318 37065371 63540636 74130742 111196113 148261484 222392226 444784452