Search a number
-
+
5149344200 = 23527111317289
BaseRepresentation
bin1001100101110110…
…01100000111001000
3111021212101210021212
410302323030013020
541021213003300
62210544152252
7241414463210
oct46273140710
914255353255
105149344200
112202741570
12bb8608688
13640a8b140
1436bc59240
15202106935
hex132ecc1c8

5149344200 has 576 divisors, whose sum is σ = 17267644800. Its totient is φ = 1378713600.

The previous prime is 5149344181. The next prime is 5149344203. The reversal of 5149344200 is 24439415.

It is not an unprimeable number, because it can be changed into a prime (5149344203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57857756 + ... + 57857844.

It is an arithmetic number, because the mean of its divisors is an integer number (29978550).

Almost surely, 25149344200 is an apocalyptic number.

5149344200 is a gapful number since it is divisible by the number (50) 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 5149344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633822400).

5149344200 is an abundant number, since it is smaller than the sum of its proper divisors (12118300600).

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

5149344200 is a wasteful number, since it uses less digits than its factorization.

5149344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5149344200 is about 71758.9311514602. The cubic root of 5149344200 is about 1726.8341982680.

The spelling of 5149344200 in words is "five billion, one hundred forty-nine million, three hundred forty-four thousand, two hundred".