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3989490624 = 26337353127
BaseRepresentation
bin1110110111001010…
…1100101111000000
3101022000221010022000
43231302230233000
531132302144444
61455512344000
7200602053000
oct35562545700
911260833260
103989490624
111767a66399
129340a5000
134b76b2052
1429bbba000
1518539b469
hexedcacbc0

3989490624 has 448 divisors, whose sum is σ = 14045184000. Its totient is φ = 1109541888.

The previous prime is 3989490611. The next prime is 3989490641. The reversal of 3989490624 is 4260949893.

3989490624 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 4 + 9 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31413249 + ... + 31413375.

Almost surely, 23989490624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3989490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022592000).

3989490624 is an abundant number, since it is smaller than the sum of its proper divisors (10055693376).

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

3989490624 is a wasteful number, since it uses less digits than its factorization.

3989490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3989490624 is about 63162.4146466868. The cubic root of 3989490624 is about 1586.0096164527.

The spelling of 3989490624 in words is "three billion, nine hundred eighty-nine million, four hundred ninety thousand, six hundred twenty-four".