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4650044040 = 233251953101127
BaseRepresentation
bin1000101010010101…
…00000101010001000
3110000001212201020100
410111022200222020
534010402402130
62045230325400
7223142502465
oct42512405210
913001781210
104650044040
111a76912a04
12a99359860
135914bc765
1432180666c
151c337ac60
hex1152a0a88

4650044040 has 384 divisors, whose sum is σ = 16497561600. Its totient is φ = 1132185600.

The previous prime is 4650044027. The next prime is 4650044083. The reversal of 4650044040 is 404400564.

4650044040 is a `hidden beast` number, since 4 + 650 + 0 + 4 + 4 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4650043995 and 4650044013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36614457 + ... + 36614583.

It is an arithmetic number, because the mean of its divisors is an integer number (42962400).

Almost surely, 24650044040 is an apocalyptic number.

4650044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4650044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248780800).

4650044040 is an abundant number, since it is smaller than the sum of its proper divisors (11847517560).

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

4650044040 is a wasteful number, since it uses less digits than its factorization.

4650044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4650044040 is about 68191.2314011120. The cubic root of 4650044040 is about 1669.1128040020.

The spelling of 4650044040 in words is "four billion, six hundred fifty million, forty-four thousand, forty".