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11282152 = 2372171693
BaseRepresentation
bin101011000010…
…011011101000
3210020012012111
4223002123220
510342012102
61041452104
7164616400
oct53023350
923205174
1011282152
1164064a2
123941034
13245033b
1416d9800
15ecccd7
hexac26e8

11282152 has 48 divisors (see below), whose sum is σ = 26070660. Its totient is φ = 4548096.

The previous prime is 11282149. The next prime is 11282207. The reversal of 11282152 is 25128211.

It can be written as a sum of positive squares in 2 ways, for example, as 11195716 + 86436 = 3346^2 + 294^2 .

It is a super-2 number, since 2×112821522 = 254573907502208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5818 + ... + 7510.

Almost surely, 211282152 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 11282152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035330).

11282152 is an abundant number, since it is smaller than the sum of its proper divisors (14788508).

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

11282152 is a wasteful number, since it uses less digits than its factorization.

11282152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1719 counting only the distinct ones).

The product of its digits is 320, while the sum is 22.

The square root of 11282152 is about 3358.8914838083. The cubic root of 11282152 is about 224.2834952227.

The spelling of 11282152 in words is "eleven million, two hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 1693 3332 3386 6664 6772 11851 13544 23702 28781 47404 57562 82957 94808 115124 165914 201467 230248 331828 402934 663656 805868 1410269 1611736 2820538 5641076 11282152