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450681040 = 2455633513
BaseRepresentation
bin11010110111001…
…101100011010000
31011102000222011101
4122313031203100
51410333243130
6112415354144
714111503615
oct3267154320
91142028141
10450681040
11211441377
12106b22954
13724a7994
1443bd850c
15298751ca
hex1adcd8d0

450681040 has 20 divisors (see below), whose sum is σ = 1047833604. Its totient is φ = 180272384.

The previous prime is 450681029. The next prime is 450681097. The reversal of 450681040 is 40186054.

It can be written as a sum of positive squares in 2 ways, for example, as 302620816 + 148060224 = 17396^2 + 12168^2 .

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

It is a super-2 number, since 2×4506810402 = 406226799630963200, which contains 22 as substring.

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, 2816677 + ... + 2816836.

Almost surely, 2450681040 is an apocalyptic number.

450681040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450681040 is an abundant number, since it is smaller than the sum of its proper divisors (597152564).

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

450681040 is a wasteful number, since it uses less digits than its factorization.

450681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633526 (or 5633520 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 450681040 is about 21229.2496334656. The cubic root of 450681040 is about 766.6958207775.

The spelling of 450681040 in words is "four hundred fifty million, six hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5633513 11267026 22534052 28167565 45068104 56335130 90136208 112670260 225340520 450681040