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4399282368 = 263413292251
BaseRepresentation
bin1000001100011011…
…11011100011000000
3102100121000200220000
410012031323203000
533002204013433
62004311520000
7214006166055
oct40615734300
912317020800
104399282368
111958309a58
12a29389000
13551571480
142da3ad02c
151ab346113
hex10637b8c0

4399282368 has 280 divisors, whose sum is σ = 14534723280. Its totient is φ = 1306368000.

The previous prime is 4399282367. The next prime is 4399282369. The reversal of 4399282368 is 8632829934.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4399282367) and next prime (4399282369).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4399282367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1953243 + ... + 1955493.

It is an arithmetic number, because the mean of its divisors is an integer number (51909726).

Almost surely, 24399282368 is an apocalyptic number.

4399282368 is a gapful number since it is divisible by the number (48) 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 4399282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267361640).

4399282368 is an abundant number, since it is smaller than the sum of its proper divisors (10135440912).

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

4399282368 is a wasteful number, since it uses less digits than its factorization.

4399282368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2298 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 4399282368 is about 66327.0862317952. The cubic root of 4399282368 is about 1638.5534498179.

The spelling of 4399282368 in words is "four billion, three hundred ninety-nine million, two hundred eighty-two thousand, three hundred sixty-eight".