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5682936024 = 233519532903
BaseRepresentation
bin1010100101011101…
…01011100011011000
3112200001110001200000
411102232223203120
543114312423044
62335525013000
7260554105413
oct52256534330
915601401600
105682936024
112456961a47
121127254160
136c74a504c
143bca76b7a
15233da7d69
hex152bab8d8

5682936024 has 192 divisors, whose sum is σ = 17124307200. Its totient is φ = 1760144256.

The previous prime is 5682936023. The next prime is 5682936041. The reversal of 5682936024 is 4206392865.

5682936024 is a `hidden beast` number, since 568 + 2 + 9 + 3 + 60 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5682936023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1956157 + ... + 1959059.

It is an arithmetic number, because the mean of its divisors is an integer number (89189100).

Almost surely, 25682936024 is an apocalyptic number.

5682936024 is a gapful number since it is divisible by the number (54) 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 5682936024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562153600).

5682936024 is an abundant number, since it is smaller than the sum of its proper divisors (11441371176).

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

5682936024 is a wasteful number, since it uses less digits than its factorization.

5682936024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5682936024 is about 75385.2507059571. The cubic root of 5682936024 is about 1784.5316531308.

The spelling of 5682936024 in words is "five billion, six hundred eighty-two million, nine hundred thirty-six thousand, twenty-four".