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632409040 = 2457905113
BaseRepresentation
bin100101101100011…
…100101111010000
31122001222201010001
4211230130233100
52243344042130
6142430415344
721446250064
oct4554345720
91561881101
10632409040
112a4a842aa
12157961554
13a1035243
145ddc1aa4
153a7c06ca
hex25b1cbd0

632409040 has 20 divisors (see below), whose sum is σ = 1470351204. Its totient is φ = 252963584.

The previous prime is 632408981. The next prime is 632409049. The reversal of 632409040 is 40904236.

632409040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 335329344 + 297079696 = 18312^2 + 17236^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632409049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3952477 + ... + 3952636.

Almost surely, 2632409040 is an apocalyptic number.

It is an amenable number.

632409040 is an abundant number, since it is smaller than the sum of its proper divisors (837942164).

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

632409040 is a wasteful number, since it uses less digits than its factorization.

632409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905126 (or 7905120 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 632409040 is about 25147.7442328333. The cubic root of 632409040 is about 858.3531852846.

The spelling of 632409040 in words is "six hundred thirty-two million, four hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7905113 15810226 31620452 39525565 63240904 79051130 126481808 158102260 316204520 632409040