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11273248 = 25759853
BaseRepresentation
bin101011000000…
…010000100000
3210012201222201
4223000100200
510341220443
61041342544
7164551420
oct53002040
923181881
1011273248
1163aa838
123937a54
13244927c
1416d6480
15eca34d
hexac0420

11273248 has 48 divisors (see below), whose sum is σ = 25824960. Its totient is φ = 4743936.

The previous prime is 11273233. The next prime is 11273263. The reversal of 11273248 is 84237211.

It is an interprime number because it is at equal distance from previous prime (11273233) and next prime (11273263).

It is a super-2 number, since 2×112732482 = 254172240939008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12790 + ... + 13642.

It is an arithmetic number, because the mean of its divisors is an integer number (538020).

Almost surely, 211273248 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 11273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912480).

11273248 is an abundant number, since it is smaller than the sum of its proper divisors (14551712).

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

11273248 is an equidigital number, since it uses as much as digits as its factorization.

11273248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 11273248 is about 3357.5657849103. The cubic root of 11273248 is about 224.2244773501.

The spelling of 11273248 in words is "eleven million, two hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 853 944 1652 1706 1888 3304 3412 5971 6608 6824 11942 13216 13648 23884 27296 47768 50327 95536 100654 191072 201308 352289 402616 704578 805232 1409156 1610464 2818312 5636624 11273248