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11282752 = 261371191
BaseRepresentation
bin101011000010…
…100101000000
3210020020000201
4223002211000
510342022002
61041454544
7164621215
oct53024500
923206021
1011282752
116406998
123941454
1324506b0
1416d9b0c
15ecd087
hexac2940

11282752 has 56 divisors (see below), whose sum is σ = 24579072. Its totient is φ = 5107200.

The previous prime is 11282741. The next prime is 11282753. The reversal of 11282752 is 25728211.

It is a self number, because there is not a number n which added to its sum of digits gives 11282752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11282753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58977 + ... + 59167.

It is an arithmetic number, because the mean of its divisors is an integer number (438912).

Almost surely, 211282752 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 11282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289536).

11282752 is an abundant number, since it is smaller than the sum of its proper divisors (13296320).

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

11282752 is a wasteful number, since it uses less digits than its factorization.

11282752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

The square root of 11282752 is about 3358.9807978016. The cubic root of 11282752 is about 224.2874710514.

The spelling of 11282752 in words is "eleven million, two hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 142 191 208 284 382 416 568 764 832 923 1136 1528 1846 2272 2483 3056 3692 4544 4966 6112 7384 9932 12224 13561 14768 19864 27122 29536 39728 54244 59072 79456 108488 158912 176293 216976 352586 433952 705172 867904 1410344 2820688 5641376 11282752