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11688552 = 2332672423
BaseRepresentation
bin101100100101…
…101001101000
3210222211200100
4230211221220
510443013202
61054305400
7201231261
oct54455150
923884610
1011688552
116663867
123ab8260
132563305
1417a3968
15105d41c
hexb25a68

11688552 has 48 divisors (see below), whose sum is σ = 32142240. Its totient is φ = 3836448.

The previous prime is 11688539. The next prime is 11688563. The reversal of 11688552 is 25588611.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3613 + ... + 6035.

It is an arithmetic number, because the mean of its divisors is an integer number (669630).

Almost surely, 211688552 is an apocalyptic number.

11688552 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 11688552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16071120).

11688552 is an abundant number, since it is smaller than the sum of its proper divisors (20453688).

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

11688552 is a wasteful number, since it uses less digits than its factorization.

11688552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2495 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 11688552 is about 3418.8524390503. The cubic root of 11688552 is about 226.9448008254.

The spelling of 11688552 in words is "eleven million, six hundred eighty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 2423 4824 4846 7269 9692 14538 19384 21807 29076 43614 58152 87228 162341 174456 324682 487023 649364 974046 1298728 1461069 1948092 2922138 3896184 5844276 11688552