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1252972900 = 225212529729
BaseRepresentation
bin100101010101110…
…1101100101100100
310020022200121200201
41022223231211210
510031230113100
6324155320244
743023044134
oct11253554544
93208617621
101252972900
115932a80a3
122ab750084
1316c780aaa
14bc59cac4
157500136a
hex4aaed964

1252972900 has 18 divisors (see below), whose sum is σ = 2718951410. Its totient is φ = 501189120.

The previous prime is 1252972867. The next prime is 1252972901. The reversal of 1252972900 is 92792521.

It can be written as a sum of positive squares in 3 ways, for example, as 352012644 + 900960256 = 18762^2 + 30016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1252972900.

It is not an unprimeable number, because it can be changed into a prime (1252972901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6264765 + ... + 6264964.

Almost surely, 21252972900 is an apocalyptic number.

1252972900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252972900 is an abundant number, since it is smaller than the sum of its proper divisors (1465978510).

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

1252972900 is a wasteful number, since it uses less digits than its factorization.

1252972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12529743 (or 12529736 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 1252972900 is about 35397.3572459866. The cubic root of 1252972900 is about 1078.0706580745.

The spelling of 1252972900 in words is "one billion, two hundred fifty-two million, nine hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12529729 25059458 50118916 62648645 125297290 250594580 313243225 626486450 1252972900