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3792898980 = 22335132931601
BaseRepresentation
bin1110001000010011…
…0000101110100100
3100210100000020021000
43202010300232210
530231440231410
61424210553300
7162664052343
oct34204605644
910710006230
103792898980
111676aa1162
1289a298830
13485a4c230
1427da43b5a
15172eb6dc0
hexe2130ba4

3792898980 has 384 divisors, whose sum is σ = 13592678400. Its totient is φ = 870912000.

The previous prime is 3792898969. The next prime is 3792898981. The reversal of 3792898980 is 898982973.

It is not an unprimeable number, because it can be changed into a prime (3792898981) 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 127 ways as a sum of consecutive naturals, for example, 6310680 + ... + 6311280.

It is an arithmetic number, because the mean of its divisors is an integer number (35397600).

Almost surely, 23792898980 is an apocalyptic number.

3792898980 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 3792898980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796339200).

3792898980 is an abundant number, since it is smaller than the sum of its proper divisors (9799779420).

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

3792898980 is a wasteful number, since it uses less digits than its factorization.

3792898980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The square root of 3792898980 is about 61586.5162190556. The cubic root of 3792898980 is about 1559.5181203948.

The spelling of 3792898980 in words is "three billion, seven hundred ninety-two million, eight hundred ninety-eight thousand, nine hundred eighty".