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444537040 = 2455556713
BaseRepresentation
bin11010011111110…
…001100011010000
31010222110211011211
4122133301203100
51402300141130
6112035545504
714005334233
oct3237614320
91128424154
10444537040
11208a25292
12104a5b294
137113628c
144307941a
152905ea2a
hex1a7f18d0

444537040 has 20 divisors (see below), whose sum is σ = 1033548804. Its totient is φ = 177814784.

The previous prime is 444537019. The next prime is 444537061. The reversal of 444537040 is 40735444.

It is an interprime number because it is at equal distance from previous prime (444537019) and next prime (444537061).

It can be written as a sum of positive squares in 2 ways, for example, as 208975936 + 235561104 = 14456^2 + 15348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4445370402 = 395226359863923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444536993 and 444537011.

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, 2778277 + ... + 2778436.

Almost surely, 2444537040 is an apocalyptic number.

444537040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444537040 is an abundant number, since it is smaller than the sum of its proper divisors (589011764).

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

444537040 is a wasteful number, since it uses less digits than its factorization.

444537040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556726 (or 5556720 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

The square root of 444537040 is about 21084.0470498432. The cubic root of 444537040 is about 763.1958224144.

The spelling of 444537040 in words is "four hundred forty-four million, five hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5556713 11113426 22226852 27783565 44453704 55567130 88907408 111134260 222268520 444537040