Search a number
-
+
5189446500 = 22353731107149
BaseRepresentation
bin1001101010101000…
…01010101101100100
3111101122212012022020
410311110022231210
541111444242000
62214535503140
7242412365430
oct46524125544
914348765266
105189446500
112223341a67
121009b27ab0
1364918c404
143732d79c0
152058c8ba0
hex13550ab64

5189446500 has 384 divisors, whose sum is σ = 18114969600. Its totient is φ = 1129536000.

The previous prime is 5189446489. The next prime is 5189446501. The reversal of 5189446500 is 56449815.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5189446501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34828426 + ... + 34828574.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 25189446500 is an apocalyptic number.

5189446500 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 5189446500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

5189446500 is an abundant number, since it is smaller than the sum of its proper divisors (12925523100).

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

5189446500 is a wasteful number, since it uses less digits than its factorization.

5189446500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 5189446500 is about 72037.8129873471. The cubic root of 5189446500 is about 1731.3053842839.

The spelling of 5189446500 in words is "five billion, one hundred eighty-nine million, four hundred forty-six thousand, five hundred".