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11288025 = 335272389
BaseRepresentation
bin101011000011…
…110111011001
3210020111021000
4223003313121
510342204100
61041535213
7164642460
oct53036731
923214230
1011288025
11640a951
123944509
132452c08
1416db9d7
15ece900
hexac3dd9

11288025 has 48 divisors (see below), whose sum is σ = 23708800. Its totient is φ = 5158080.

The previous prime is 11288023. The next prime is 11288089. The reversal of 11288025 is 52088211.

It is not a de Polignac number, because 11288025 - 21 = 11288023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11288025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11288023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3531 + ... + 5919.

Almost surely, 211288025 is an apocalyptic number.

11288025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11288025 is an abundant number, since it is smaller than the sum of its proper divisors (12420775).

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

11288025 is a wasteful number, since it uses less digits than its factorization.

11288025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11288025 is about 3359.7656168251. The cubic root of 11288025 is about 224.3224058984.

The spelling of 11288025 in words is "eleven million, two hundred eighty-eight thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 2389 4725 7167 11945 16723 21501 35835 50169 59725 64503 83615 107505 150507 179175 250845 322515 418075 451521 537525 752535 1254225 1612575 2257605 3762675 11288025