Search a number
-
+
4834995840 = 2733517109151
BaseRepresentation
bin1001000000011000…
…00010111010000000
3110110221220020102000
410200030002322000
534400224331330
62115434424000
7230546533533
oct44014027200
913427806360
104834995840
112061257a34
12b2b292000
135c09084ac
1433c1cca1a
151d4711560
hex120302e80

4834995840 has 512 divisors, whose sum is σ = 18418752000. Its totient is φ = 1194393600.

The previous prime is 4834995811. The next prime is 4834995859. The reversal of 4834995840 is 485994384.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32019765 + ... + 32019915.

It is an arithmetic number, because the mean of its divisors is an integer number (35974125).

Almost surely, 24834995840 is an apocalyptic number.

4834995840 is a gapful number since it is divisible by the number (40) 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 4834995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9209376000).

4834995840 is an abundant number, since it is smaller than the sum of its proper divisors (13583756160).

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

4834995840 is a wasteful number, since it uses less digits than its factorization.

4834995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 4834995840 is about 69534.1343514105. The cubic root of 4834995840 is about 1690.9549403895.

The spelling of 4834995840 in words is "four billion, eight hundred thirty-four million, nine hundred ninety-five thousand, eight hundred forty".