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4026208032 = 253471120173
BaseRepresentation
bin1110111111111011…
…0000111100100000
3101101121000120010000
43233332300330200
531221202124112
61503303340000
7201526126560
oct35776607440
911347016100
104026208032
111786764760
12944451600
134c2199722
142a2a16da0
151887007dc
hexeffb0f20

4026208032 has 240 divisors, whose sum is σ = 14763494592. Its totient is φ = 1045716480.

The previous prime is 4026208013. The next prime is 4026208037. The reversal of 4026208032 is 2308026204.

4026208032 is a `hidden beast` number, since 4 + 0 + 2 + 620 + 8 + 0 + 32 = 666.

It is a super-2 number, since 2×40262080322 = 32420702233882626048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4026207987 and 4026208005.

It is not an unprimeable number, because it can be changed into a prime (4026208037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 189498 + ... + 209670.

Almost surely, 24026208032 is an apocalyptic number.

4026208032 is a gapful number since it is divisible by the number (42) 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 4026208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381747296).

4026208032 is an abundant number, since it is smaller than the sum of its proper divisors (10737286560).

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

4026208032 is a wasteful number, since it uses less digits than its factorization.

4026208032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20213 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4026208032 is about 63452.4076138959. The cubic root of 4026208032 is about 1590.8603958470.

The spelling of 4026208032 in words is "four billion, twenty-six million, two hundred eight thousand, thirty-two".