Search a number
-
+
482969088 = 2933722331
BaseRepresentation
bin11100110010011…
…000011000000000
31020122210101001000
4130302120120000
51442120002323
6115531412000
714653112100
oct3462303000
91218711030
10482969088
11228694908
121158b4000
13790a1234
1448201200
152c601e43
hex1cc98600

482969088 has 480 divisors, whose sum is σ = 1791313920. Its totient is φ = 127733760.

The previous prime is 482969087. The next prime is 482969089. The reversal of 482969088 is 880969284.

It is an interprime number because it is at equal distance from previous prime (482969087) and next prime (482969089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482969087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15579633 + ... + 15579663.

It is an arithmetic number, because the mean of its divisors is an integer number (3731904).

Almost surely, 2482969088 is an apocalyptic number.

482969088 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 482969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895656960).

482969088 is an abundant number, since it is smaller than the sum of its proper divisors (1308344832).

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

482969088 is a wasteful number, since it uses less digits than its factorization.

482969088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 482969088 is about 21976.5576922320. The cubic root of 482969088 is about 784.5845979935.

The spelling of 482969088 in words is "four hundred eighty-two million, nine hundred sixty-nine thousand, eighty-eight".