Search a number
-
+
245054400 = 26352192687
BaseRepresentation
bin11101001101100…
…11101111000000
3122002010001102220
432212303233000
51000213220100
640152211040
76033633213
oct1646635700
9562101386
10245054400
11116365aa8
126a099a80
133ba00606
142478d77a
15167a8aa0
hexe9b3bc0

245054400 has 168 divisors, whose sum is σ = 846612480. Its totient is φ = 61885440.

The previous prime is 245054393. The next prime is 245054423. The reversal of 245054400 is 4450542.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89857 + ... + 92543.

It is an arithmetic number, because the mean of its divisors is an integer number (5039360).

Almost surely, 2245054400 is an apocalyptic number.

245054400 is a gapful number since it is divisible by the number (20) 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 245054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423306240).

245054400 is an abundant number, since it is smaller than the sum of its proper divisors (601558080).

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

245054400 is a wasteful number, since it uses less digits than its factorization.

245054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 245054400 is about 15654.2134903035. The cubic root of 245054400 is about 625.7787838567.

The spelling of 245054400 in words is "two hundred forty-five million, fifty-four thousand, four hundred".