Search a number
-
+
245749504 = 28721113137
BaseRepresentation
bin11101010010111…
…01011100000000
3122010102100221111
432221131130000
51000402441004
640215133104
76042556600
oct1651353400
9563370844
10245749504
111167a0270
126a374194
133bbb4b10
14248d0c00
1516894a04
hexea5d700

245749504 has 216 divisors, whose sum is σ = 675280368. Its totient is φ = 87736320.

The previous prime is 245749489. The next prime is 245749507. The reversal of 245749504 is 405947542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245749507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1793724 + ... + 1793860.

It is an arithmetic number, because the mean of its divisors is an integer number (3126298).

Almost surely, 2245749504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337640184).

245749504 is an abundant number, since it is smaller than the sum of its proper divisors (429530864).

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

245749504 is a wasteful number, since it uses less digits than its factorization.

245749504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 245749504 is about 15676.3995866398. The cubic root of 245749504 is about 626.3699052616.

The spelling of 245749504 in words is "two hundred forty-five million, seven hundred forty-nine thousand, five hundred four".