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11249892 = 22321372281
BaseRepresentation
bin101010111010…
…100011100100
3210011112221200
4222322203210
510334444032
61041042500
7164423343
oct52724344
923145850
1011249892
116394235
123926430
13243b754
1416cbb5a
15ec347c
hexaba8e4

11249892 has 36 divisors (see below), whose sum is σ = 28657356. Its totient is φ = 3720960.

The previous prime is 11249891. The next prime is 11249897. The reversal of 11249892 is 29894211.

11249892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6687396 + 4562496 = 2586^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11249891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3792 + ... + 6072.

Almost surely, 211249892 is an apocalyptic number.

11249892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11249892 is an abundant number, since it is smaller than the sum of its proper divisors (17407464).

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

11249892 is a wasteful number, since it uses less digits than its factorization.

11249892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2423 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11249892 is about 3354.0858665216. The cubic root of 11249892 is about 224.0695203008.

The spelling of 11249892 in words is "eleven million, two hundred forty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2281 2466 4562 4932 6843 9124 13686 20529 27372 41058 82116 312497 624994 937491 1249988 1874982 2812473 3749964 5624946 11249892