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11944268 = 22717231091
BaseRepresentation
bin101101100100…
…000101001100
3211110211110022
4231210011030
511024204033
61104001312
7203344640
oct55440514
924424408
1011944268
1168189a6
124000238
13262281b
14182cc20
1510ae098
hexb6414c

11944268 has 48 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 4604160.

The previous prime is 11944253. The next prime is 11944277. The reversal of 11944268 is 86244911.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10403 + ... + 11493.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 211944268 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 11944268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

11944268 is an abundant number, since it is smaller than the sum of its proper divisors (14473396).

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

11944268 is a wasteful number, since it uses less digits than its factorization.

11944268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1140 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 11944268 is about 3456.0480320736. The cubic root of 11944268 is about 228.5878694275.

The spelling of 11944268 in words is "eleven million, nine hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1091 1564 2182 2737 4364 5474 7637 10948 15274 18547 25093 30548 37094 50186 74188 100372 129829 175651 259658 351302 426581 519316 702604 853162 1706324 2986067 5972134 11944268