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10485252 = 2232291257
BaseRepresentation
bin100111111111…
…111000000100
3201201201001200
4213333320010
510141012002
61012422500
7155060151
oct47777004
921651050
1010485252
115a117a8
123617a30
1322316bb
14156d228
15dc1b1c
hex9ffe04

10485252 has 18 divisors (see below), whose sum is σ = 26504478. Its totient is φ = 3495072.

The previous prime is 10485239. The next prime is 10485253. The reversal of 10485252 is 25258401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8678916 + 1806336 = 2946^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (10485253) 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, 145593 + ... + 145664.

It is an arithmetic number, because the mean of its divisors is an integer number (1472471).

Almost surely, 210485252 is an apocalyptic number.

10485252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10485252 is an abundant number, since it is smaller than the sum of its proper divisors (16019226).

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

10485252 is a wasteful number, since it uses less digits than its factorization.

10485252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291267 (or 291262 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 10485252 is about 3238.0938837532. The cubic root of 10485252 is about 218.8733864993.

The spelling of 10485252 in words is "ten million, four hundred eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 291257 582514 873771 1165028 1747542 2621313 3495084 5242626 10485252