Search a number
-
+
11248152 = 23317191451
BaseRepresentation
bin101010111010…
…001000011000
3210011110120020
4222322020120
510334420102
61041030440
7164415306
oct52721030
923143506
1011248152
1163929a3
123925420
13243aa16
1416cb276
15ec2bbc
hexaba218

11248152 has 64 divisors (see below), whose sum is σ = 31363200. Its totient is φ = 3340800.

The previous prime is 11248151. The next prime is 11248157. The reversal of 11248152 is 25184211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11248151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7027 + ... + 8477.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 211248152 is an apocalyptic number.

11248152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11248152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681600).

11248152 is an abundant number, since it is smaller than the sum of its proper divisors (20115048).

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

11248152 is a wasteful number, since it uses less digits than its factorization.

11248152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 11248152 is about 3353.8264713607. The cubic root of 11248152 is about 224.0579675657.

The spelling of 11248152 in words is "eleven million, two hundred forty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1451 1938 2584 2902 3876 4353 5804 7752 8706 11608 17412 24667 27569 34824 49334 55138 74001 82707 98668 110276 148002 165414 197336 220552 296004 330828 468673 592008 661656 937346 1406019 1874692 2812038 3749384 5624076 11248152