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11768848 = 2471359137
BaseRepresentation
bin101100111001…
…010000010000
3211010220211021
4230321100100
511003100343
61100125224
7202014340
oct54712020
924126737
1011768848
116709123
123b36814
132590a20
1417c4d20
1510770ed
hexb39410

11768848 has 80 divisors (see below), whose sum is σ = 28748160. Its totient is φ = 4543488.

The previous prime is 11768843. The next prime is 11768851. The reversal of 11768848 is 84886711.

Its product of digits (86016) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (11768843) 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, 85836 + ... + 85972.

It is an arithmetic number, because the mean of its divisors is an integer number (359352).

Almost surely, 211768848 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 11768848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374080).

11768848 is an abundant number, since it is smaller than the sum of its proper divisors (16979312).

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

11768848 is a wasteful number, since it uses less digits than its factorization.

11768848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 86016, while the sum is 43.

The square root of 11768848 is about 3430.5754619305. The cubic root of 11768848 is about 227.4632907802.

The spelling of 11768848 in words is "eleven million, seven hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 59 91 104 112 118 137 182 208 236 274 364 413 472 548 728 767 826 944 959 1096 1456 1534 1652 1781 1918 2192 3068 3304 3562 3836 5369 6136 6608 7124 7672 8083 10738 12272 12467 14248 15344 16166 21476 24934 28496 32332 42952 49868 56581 64664 85904 99736 105079 113162 129328 199472 210158 226324 420316 452648 735553 840632 905296 1471106 1681264 2942212 5884424 11768848