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3992260608 = 212367191
BaseRepresentation
bin1110110111110101…
…0001000000000000
3101022020010212000000
43231331101000000
531134004314413
61500052000000
7200634440520
oct35575210000
911266125000
103992260608
111769588536
12935000000
134b8141aab
1429c2db680
15185747073
hexedf51000

3992260608 has 364 divisors, whose sum is σ = 13751443968. Its totient is φ = 1134673920.

The previous prime is 3992260579. The next prime is 3992260609. The reversal of 3992260608 is 8060622993.

3992260608 is a `hidden beast` number, since 39 + 9 + 2 + 2 + 6 + 0 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (3992260609) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 20901793 + ... + 20901983.

Almost surely, 23992260608 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 3992260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875721984).

3992260608 is an abundant number, since it is smaller than the sum of its proper divisors (9759183360).

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

3992260608 is an frugal number, since it uses more digits than its factorization.

3992260608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3992260608 is about 63184.3383125914. The cubic root of 3992260608 is about 1586.3765977125.

The spelling of 3992260608 in words is "three billion, nine hundred ninety-two million, two hundred sixty thousand, six hundred eight".