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5152440100 = 225280963689
BaseRepresentation
bin1001100110001101…
…11111111100100100
3111022002020002001211
410303012333330210
541023011040400
62211134401204
7241453006153
oct46306777444
914262202054
105152440100
112204466565
12bb9660204
13641603332
1436c42359a
15202518dba
hex1331bff24

5152440100 has 36 divisors (see below), whose sum is σ = 11194791300. Its totient is φ = 2058396160.

The previous prime is 5152440089. The next prime is 5152440107. The reversal of 5152440100 is 10442515.

It can be written as a sum of positive squares in 6 ways, for example, as 45050944 + 5107389156 = 6712^2 + 71466^2 .

It is not an unprimeable number, because it can be changed into a prime (5152440107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49056 + ... + 112744.

It is an arithmetic number, because the mean of its divisors is an integer number (310966425).

Almost surely, 25152440100 is an apocalyptic number.

5152440100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5152440100 is an abundant number, since it is smaller than the sum of its proper divisors (6042351200).

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

5152440100 is a wasteful number, since it uses less digits than its factorization.

5152440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64512 (or 64505 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5152440100 is about 71780.4994410042. The cubic root of 5152440100 is about 1727.1801992825.

Adding to 5152440100 its reverse (10442515), we get a palindrome (5162882615).

The spelling of 5152440100 in words is "five billion, one hundred fifty-two million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 809 1618 3236 4045 8090 16180 20225 40450 63689 80900 127378 254756 318445 636890 1273780 1592225 3184450 6368900 51524401 103048802 206097604 257622005 515244010 1030488020 1288110025 2576220050 5152440100