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1252948900 = 225271789927
BaseRepresentation
bin100101010101110…
…0111101110100100
310020022122101202211
41022223213232210
510031223331100
6324155013204
743022614150
oct11253475644
93208571684
101252948900
11593291065
122ab73a204
1316c772ba8
14bc594060
1574ee91ba
hex4aae7ba4

1252948900 has 36 divisors (see below), whose sum is σ = 3107315008. Its totient is φ = 429582240.

The previous prime is 1252948891. The next prime is 1252948937. The reversal of 1252948900 is 98492521.

1252948900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12529489002 = 3139761892022420000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 894264 + ... + 895663.

Almost surely, 21252948900 is an apocalyptic number.

1252948900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252948900 is an abundant number, since it is smaller than the sum of its proper divisors (1854366108).

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

1252948900 is a wasteful number, since it uses less digits than its factorization.

1252948900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789948 (or 1789941 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 1252948900 is about 35397.0182360040. The cubic root of 1252948900 is about 1078.0637747490.

The spelling of 1252948900 in words is "one billion, two hundred fifty-two million, nine hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1789927 3579854 7159708 8949635 12529489 17899270 25058978 35798540 44748175 50117956 62647445 89496350 125294890 178992700 250589780 313237225 626474450 1252948900