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3992854320 = 24325713149409
BaseRepresentation
bin1110110111111110…
…0001111100110000
3101022021021000102100
43231333201330300
531134132314240
61500112420400
7200642462460
oct35577417460
911267230370
103992854320
111769953604
12935247700
134b82bc0c0
1429c413ba0
15185812e30
hexedfe1f30

3992854320 has 480 divisors, whose sum is σ = 16655184000. Its totient is φ = 834748416.

The previous prime is 3992854289. The next prime is 3992854337. The reversal of 3992854320 is 234582993.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9762276 + ... + 9762684.

It is an arithmetic number, because the mean of its divisors is an integer number (34698300).

Almost surely, 23992854320 is an apocalyptic number.

3992854320 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 3992854320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8327592000).

3992854320 is an abundant number, since it is smaller than the sum of its proper divisors (12662329680).

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

3992854320 is a wasteful number, since it uses less digits than its factorization.

3992854320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3992854320 is about 63189.0363908170. The cubic root of 3992854320 is about 1586.4552335390.

The spelling of 3992854320 in words is "three billion, nine hundred ninety-two million, eight hundred fifty-four thousand, three hundred twenty".