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3989502720 = 28345723239
BaseRepresentation
bin1110110111001010…
…1111101100000000
3101022000221201220000
43231302233230000
531132303041340
61455512520000
7200602133160
oct35562575400
911260851800
103989502720
111767a74495
129340b0000
134b76b76c8
1429bbc05a0
1518539ed30
hexedcafb00

3989502720 has 720 divisors, whose sum is σ = 17095034880. Its totient is φ = 868589568.

The previous prime is 3989502707. The next prime is 3989502733. The reversal of 3989502720 is 272059893.

It is an interprime number because it is at equal distance from previous prime (3989502707) and next prime (3989502733).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×39895027202 = 31832263905774796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 16692361 + ... + 16692599.

It is an arithmetic number, because the mean of its divisors is an integer number (23743104).

Almost surely, 23989502720 is an apocalyptic number.

3989502720 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 3989502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547517440).

3989502720 is an abundant number, since it is smaller than the sum of its proper divisors (13105532160).

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

3989502720 is a wasteful number, since it uses less digits than its factorization.

3989502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3989502720 is about 63162.5103997617. The cubic root of 3989502720 is about 1586.0112193602.

The spelling of 3989502720 in words is "three billion, nine hundred eighty-nine million, five hundred two thousand, seven hundred twenty".