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866272 = 251123107
BaseRepresentation
bin11010011011111100000
31122000022011
43103133200
5210210042
630322304
710235401
oct3233740
91560264
10866272
11541930
12359394
132443b4
141879a8
15121a17
hexd37e0

866272 has 48 divisors (see below), whose sum is σ = 1959552. Its totient is φ = 373120.

The previous prime is 866231. The next prime is 866279. The reversal of 866272 is 272668.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866279) by changing a digit.

866272 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 8043 + ... + 8149.

It is an arithmetic number, because the mean of its divisors is an integer number (40824).

2866272 is an apocalyptic number.

866272 is the 498-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776).

866272 is an abundant number, since it is smaller than the sum of its proper divisors (1093280).

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

866272 is a wasteful number, since it uses less digits than its factorization.

866272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 866272 is about 930.7373421111. The cubic root of 866272 is about 95.3274755829.

The spelling of 866272 in words is "eight hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 107 176 184 214 253 352 368 428 506 736 856 1012 1177 1712 2024 2354 2461 3424 4048 4708 4922 8096 9416 9844 18832 19688 27071 37664 39376 54142 78752 108284 216568 433136 866272