Search a number
-
+
4997192382 = 2327313232707
BaseRepresentation
bin1001010011101101…
…10001101010111110
3110220021002200020100
410221312301222332
540213240124012
62143511101530
7234556302000
oct45166615276
913807080210
104997192382
11213486a666
12b756718a6
136183b7990
14355970370
151e3a9e8dc
hex129db1abe

4997192382 has 192 divisors, whose sum is σ = 14194252800. Its totient is φ = 1260173376.

The previous prime is 4997192363. The next prime is 4997192399. The reversal of 4997192382 is 2832917994.

4997192382 is a `hidden beast` number, since 499 + 71 + 9 + 2 + 3 + 82 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1844673 + ... + 1847379.

It is an arithmetic number, because the mean of its divisors is an integer number (73928400).

Almost surely, 24997192382 is an apocalyptic number.

4997192382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4997192382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097126400).

4997192382 is an abundant number, since it is smaller than the sum of its proper divisors (9197060418).

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

4997192382 is a wasteful number, since it uses less digits than its factorization.

4997192382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2755 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 4997192382 is about 70690.8224736422. The cubic root of 4997192382 is about 1709.6558228004.

The spelling of 4997192382 in words is "four billion, nine hundred ninety-seven million, one hundred ninety-two thousand, three hundred eighty-two".