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11429248 = 27293079
BaseRepresentation
bin101011100110…
…010110000000
3210111122222111
4223212112000
510411213443
61044545104
7166101265
oct53462600
923448874
1011429248
1164a6a66
1239b2194
1324a228c
14173726c
15100b69d
hexae6580

11429248 has 32 divisors (see below), whose sum is σ = 23562000. Its totient is φ = 5515776.

The previous prime is 11429239. The next prime is 11429251. The reversal of 11429248 is 84292411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2173 + ... + 5251.

Almost surely, 211429248 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 11429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11781000).

11429248 is an abundant number, since it is smaller than the sum of its proper divisors (12132752).

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

11429248 is an equidigital number, since it uses as much as digits as its factorization.

11429248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3110 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 11429248 is about 3380.7170836969. The cubic root of 11429248 is about 225.2540209260.

The spelling of 11429248 in words is "eleven million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3079 3712 6158 12316 24632 49264 89291 98528 178582 197056 357164 394112 714328 1428656 2857312 5714624 11429248