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996264 = 2332101137
BaseRepresentation
bin11110011001110101000
31212121121200
43303032220
5223340024
633204200
711316363
oct3631650
91777550
10996264
11620565
12400660
1328b609
141bd0da
1514a2c9
hexf33a8

996264 has 48 divisors (see below), whose sum is σ = 2744820. Its totient is φ = 326400.

The previous prime is 996263. The next prime is 996271. The reversal of 996264 is 462699.

It can be written as a sum of positive squares in 2 ways, for example, as 887364 + 108900 = 942^2 + 330^2 .

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (23328) is a multiple of the sum of its prime divisors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996263) by changing a digit.

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, 7204 + ... + 7340.

2996264 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 996264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372410).

996264 is an abundant number, since it is smaller than the sum of its proper divisors (1748556).

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

996264 is a wasteful number, since it uses less digits than its factorization.

996264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 996264 is about 998.1302520212. The cubic root of 996264 is about 99.8753112585.

The spelling of 996264 in words is "nine hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 137 202 274 303 404 411 548 606 808 822 909 1096 1212 1233 1644 1818 2424 2466 3288 3636 4932 7272 9864 13837 27674 41511 55348 83022 110696 124533 166044 249066 332088 498132 996264