Search a number
-
+
1252705632 = 25313049017
BaseRepresentation
bin100101010101010…
…1100010101100000
310020022012001001220
41022222230111200
510031143040012
6324145455040
743020552003
oct11252542540
93208161056
101252705632
11593135312
122ab641480
1316c6b9249
14bc52d53a
1574e9c08c
hex4aaac560

1252705632 has 24 divisors (see below), whose sum is σ = 3288352536. Its totient is φ = 417568512.

The previous prime is 1252705613. The next prime is 1252705681. The reversal of 1252705632 is 2365072521.

It is a tau number, because it is divible by the number of its divisors (24).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1252705593 and 1252705602.

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 3 ways as a sum of consecutive naturals, for example, 6524413 + ... + 6524604.

It is an arithmetic number, because the mean of its divisors is an integer number (137014689).

Almost surely, 21252705632 is an apocalyptic number.

1252705632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1252705632 is an abundant number, since it is smaller than the sum of its proper divisors (2035646904).

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

1252705632 is a wasteful number, since it uses less digits than its factorization.

1252705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049030 (or 13049022 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 1252705632 is about 35393.5817910536. The cubic root of 1252705632 is about 1077.9939992529.

The spelling of 1252705632 in words is "one billion, two hundred fifty-two million, seven hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 13049017 26098034 39147051 52196068 78294102 104392136 156588204 208784272 313176408 417568544 626352816 1252705632