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4026299040 = 2532517237151
BaseRepresentation
bin1110111111111100…
…0111001010100000
3101101121012011221200
43233333013022200
531221213032130
61503305321200
7201526656111
oct35777071240
911347164850
104026299040
111786817075
12944496200
134c21cbc8a
142a2a3c208
1518871c760
hexeffc72a0

4026299040 has 288 divisors, whose sum is σ = 15182608896. Its totient is φ = 966451200.

The previous prime is 4026299033. The next prime is 4026299077. The reversal of 4026299040 is 409926204.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40262990402 = 32422167919009843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4026298986 and 4026299004.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 559465 + ... + 566615.

It is an arithmetic number, because the mean of its divisors is an integer number (52717392).

Almost surely, 24026299040 is an apocalyptic number.

4026299040 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 4026299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591304448).

4026299040 is an abundant number, since it is smaller than the sum of its proper divisors (11156309856).

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

4026299040 is a wasteful number, since it uses less digits than its factorization.

4026299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4026299040 is about 63453.1247457523. The cubic root of 4026299040 is about 1590.8723823060.

The spelling of 4026299040 in words is "four billion, twenty-six million, two hundred ninety-nine thousand, forty".