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11946852 = 223617241
BaseRepresentation
bin101101100100…
…101101100100
3211110222000000
4231210231210
511024244402
61104021300
7203355321
oct55445544
924428000
1011946852
11681a935
124001830
132623a58
14182db48
1510aec1c
hexb64b64

11946852 has 84 divisors (see below), whose sum is σ = 33327756. Its totient is φ = 3732480.

The previous prime is 11946829. The next prime is 11946853. The reversal of 11946852 is 25864911.

11946852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 2802276 = 3024^2 + 1674^2 .

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11946853) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 49452 + ... + 49692.

It is an arithmetic number, because the mean of its divisors is an integer number (396759).

Almost surely, 211946852 is an apocalyptic number.

11946852 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 11946852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663878).

11946852 is an abundant number, since it is smaller than the sum of its proper divisors (21380904).

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

11946852 is a wasteful number, since it uses less digits than its factorization.

11946852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11946852 is about 3456.4218492539. The cubic root of 11946852 is about 228.6043523258.

It can be divided in two parts, 119 and 46852, that added together give a triangular number (46971 = T306).

The spelling of 11946852 in words is "eleven million, nine hundred forty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 241 243 306 324 459 482 486 612 723 729 918 964 972 1377 1446 1458 1836 2169 2754 2892 2916 4097 4131 4338 5508 6507 8194 8262 8676 12291 12393 13014 16388 16524 19521 24582 24786 26028 36873 39042 49164 49572 58563 73746 78084 110619 117126 147492 175689 221238 234252 331857 351378 442476 663714 702756 995571 1327428 1991142 2986713 3982284 5973426 11946852