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11256288 = 253373169
BaseRepresentation
bin101010111100…
…000111100000
3210011212201120
4222330013200
510340200123
61041132240
7164451111
oct52740740
923155646
1011256288
11639901a
12392a080
132441634
1416d0208
15ec52e3
hexabc1e0

11256288 has 48 divisors (see below), whose sum is σ = 30355920. Its totient is φ = 3649536.

The previous prime is 11256281. The next prime is 11256307. The reversal of 11256288 is 88265211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11256281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1968 + ... + 5136.

It is an arithmetic number, because the mean of its divisors is an integer number (632415).

Almost surely, 211256288 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 11256288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177960).

11256288 is an abundant number, since it is smaller than the sum of its proper divisors (19099632).

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

11256288 is a wasteful number, since it uses less digits than its factorization.

11256288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3211 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 11256288 is about 3355.0391950020. The cubic root of 11256288 is about 224.1119763273. Note that the first 3 decimals are identical.

The spelling of 11256288 in words is "eleven million, two hundred fifty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3169 3552 6338 9507 12676 19014 25352 38028 50704 76056 101408 117253 152112 234506 304224 351759 469012 703518 938024 1407036 1876048 2814072 3752096 5628144 11256288