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10297252 = 2272107491
BaseRepresentation
bin100111010001…
…111110100100
3201101011011201
4213101332210
510114003002
61004412244
7153345100
oct47217644
921334151
1010297252
1158a3529
123547084
132196c64
141520900
15d86087
hex9d1fa4

10297252 has 36 divisors (see below), whose sum is σ = 21201264. Its totient is φ = 4362960.

The previous prime is 10297249. The next prime is 10297303. The reversal of 10297252 is 25279201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10297252.

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 11 ways as a sum of consecutive naturals, for example, 20727 + ... + 21217.

It is an arithmetic number, because the mean of its divisors is an integer number (588924).

Almost surely, 210297252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10297252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600632).

10297252 is an abundant number, since it is smaller than the sum of its proper divisors (10904012).

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

10297252 is a wasteful number, since it uses less digits than its factorization.

10297252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10297252 is about 3208.9331560505. The cubic root of 10297252 is about 217.5573601301.

It can be divided in two parts, 1029 and 7252, that added together give a square (8281 = 912).

The spelling of 10297252 in words is "ten million, two hundred ninety-seven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 428 491 749 982 1498 1964 2996 3437 5243 6874 10486 13748 20972 24059 48118 52537 96236 105074 210148 367759 735518 1471036 2574313 5148626 10297252