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4263836640 = 253571724391
BaseRepresentation
bin1111111000100100…
…1111101111100000
3102000011011100021120
43332021033233200
532213020233030
61543032452240
7210443004420
oct37611175740
912004140246
104263836640
111898908638
129abb4a080
1352c49a07b
142c63d2480
1519e4de010
hexfe24fbe0

4263836640 has 288 divisors, whose sum is σ = 16309569024. Its totient is φ = 917053440.

The previous prime is 4263836617. The next prime is 4263836701. The reversal of 4263836640 is 466383624.

It is a happy number.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 4263836592 and 4263836601.

It is a congruent number.

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, 968845 + ... + 973235.

It is an arithmetic number, because the mean of its divisors is an integer number (56630448).

Almost surely, 24263836640 is an apocalyptic number.

4263836640 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 4263836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154784512).

4263836640 is an abundant number, since it is smaller than the sum of its proper divisors (12045732384).

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

4263836640 is a wasteful number, since it uses less digits than its factorization.

4263836640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 4263836640 is about 65298.0600018102. The cubic root of 4263836640 is about 1621.5618529671.

The spelling of 4263836640 in words is "four billion, two hundred sixty-three million, eight hundred thirty-six thousand, six hundred forty".