Search a number
-
+
11079488 = 26723533
BaseRepresentation
bin101010010000…
…111101000000
3202211220012102
4222100331000
510314020423
61033245532
7163113500
oct52207500
922756172
1011079488
116288202
1238638a8
1323ac014
141685a00
15e8cc28
hexa90f40

11079488 has 42 divisors (see below), whose sum is σ = 25582626. Its totient is φ = 4747008.

The previous prime is 11079487. The next prime is 11079499. The reversal of 11079488 is 88497011.

It can be written as a sum of positive squares in only one way, i.e., 10549504 + 529984 = 3248^2 + 728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11079487) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1370 + ... + 4902.

Almost surely, 211079488 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 11079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791313).

11079488 is an abundant number, since it is smaller than the sum of its proper divisors (14503138).

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

11079488 is an equidigital number, since it uses as much as digits as its factorization.

11079488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 11079488 is about 3328.5864867838. The cubic root of 11079488 is about 222.9324200162.

The spelling of 11079488 in words is "eleven million, seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3533 7066 14132 24731 28264 49462 56528 98924 113056 173117 197848 226112 346234 395696 692468 791392 1384936 1582784 2769872 5539744 11079488