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464938640 = 2455811733
BaseRepresentation
bin11011101101100…
…110011010010000
31012101212022220122
4123231212122100
51423011014030
6114045125412
714343625145
oct3355463220
91171768818
10464938640
1121949a311
1210b859868
137542a42a
1445a6a3cc
152ac3e8e5
hex1bb66690

464938640 has 20 divisors (see below), whose sum is σ = 1080982524. Its totient is φ = 185975424.

The previous prime is 464938609. The next prime is 464938667. The reversal of 464938640 is 46839464.

It can be written as a sum of positive squares in 2 ways, for example, as 303038464 + 161900176 = 17408^2 + 12724^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 464938591 and 464938600.

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, 2905787 + ... + 2905946.

Almost surely, 2464938640 is an apocalyptic number.

464938640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464938640 is an abundant number, since it is smaller than the sum of its proper divisors (616043884).

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

464938640 is a wasteful number, since it uses less digits than its factorization.

464938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811746 (or 5811740 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 464938640 is about 21562.4358549771. The cubic root of 464938640 is about 774.6970109399.

The spelling of 464938640 in words is "four hundred sixty-four million, nine hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5811733 11623466 23246932 29058665 46493864 58117330 92987728 116234660 232469320 464938640