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3926996640 = 25355747307
BaseRepresentation
bin1110101000010001…
…0011011010100000
3101010200100002200000
43222010103122200
531020302343030
61445401100000
7166212630540
oct35204233240
911120302600
103926996640
111735761776
12917187600
134a7770b68
1429378d320
1517eb54860
hexea1136a0

3926996640 has 576 divisors, whose sum is σ = 16273281024. Its totient is φ = 875639808.

The previous prime is 3926996611. The next prime is 3926996657. The reversal of 3926996640 is 466996293.

It is a super-2 number, since 2×39269966402 = 30842605221142579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12791367 + ... + 12791673.

It is an arithmetic number, because the mean of its divisors is an integer number (28252224).

Almost surely, 23926996640 is an apocalyptic number.

3926996640 is a gapful number since it is divisible by the number (30) 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 3926996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136640512).

3926996640 is an abundant number, since it is smaller than the sum of its proper divisors (12346284384).

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

3926996640 is a wasteful number, since it uses less digits than its factorization.

3926996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 3926996640 is about 62665.7533266776. The cubic root of 3926996640 is about 1577.6845644565.

The spelling of 3926996640 in words is "three billion, nine hundred twenty-six million, nine hundred ninety-six thousand, six hundred forty".