Search a number
-
+
5004405200 = 245229174289
BaseRepresentation
bin1001010100100100…
…10010100111010000
3110220202200010100202
410222102102213100
540222111431300
62144325434332
7235004512424
oct45222224720
913822603322
105004405200
112138946773
12b77b6b9a8
13619a41a12
143568cab84
151e4526ad5
hex12a4929d0

5004405200 has 60 divisors (see below), whose sum is σ = 12030009420. Its totient is φ = 2000609280.

The previous prime is 5004405187. The next prime is 5004405223. The reversal of 5004405200 is 25044005.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1160901184 + 3843504016 = 34072^2 + 61996^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1164656 + ... + 1168944.

It is an arithmetic number, because the mean of its divisors is an integer number (200500157).

Almost surely, 25004405200 is an apocalyptic number.

5004405200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5004405200 is an abundant number, since it is smaller than the sum of its proper divisors (7025604220).

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

5004405200 is a wasteful number, since it uses less digits than its factorization.

5004405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 5004405200 is about 70741.8207286185. The cubic root of 5004405200 is about 1710.4779850030.

Adding to 5004405200 its reverse (25044005), we get a palindrome (5029449205).

The spelling of 5004405200 in words is "five billion, four million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2917 4289 5834 8578 11668 14585 17156 21445 23336 29170 34312 42890 46672 58340 68624 72925 85780 107225 116680 145850 171560 214450 233360 291700 343120 428900 583400 857800 1166800 1715600 12511013 25022026 50044052 62555065 100088104 125110130 200176208 250220260 312775325 500440520 625550650 1000881040 1251101300 2502202600 5004405200