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10284252 = 22311174583
BaseRepresentation
bin100111001110…
…110011011100
3201100111100020
4213032303130
510113044002
61004232140
7153262146
oct47166334
921314306
1010284252
115894790
12353b650
132191074
141519c96
15d822bc
hex9cecdc

10284252 has 48 divisors (see below), whose sum is σ = 27724032. Its totient is φ = 2932480.

The previous prime is 10284251. The next prime is 10284271. The reversal of 10284252 is 25248201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10284251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48 + ... + 4535.

It is an arithmetic number, because the mean of its divisors is an integer number (577584).

Almost surely, 210284252 is an apocalyptic number.

10284252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10284252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862016).

10284252 is an abundant number, since it is smaller than the sum of its proper divisors (17439780).

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

10284252 is a wasteful number, since it uses less digits than its factorization.

10284252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10284252 is about 3206.9069210066. The cubic root of 10284252 is about 217.4657681626.

The spelling of 10284252 in words is "ten million, two hundred eighty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 4583 9166 13749 18332 27498 50413 54996 77911 100826 151239 155822 201652 233733 302478 311644 467466 604956 857021 934932 1714042 2571063 3428084 5142126 10284252