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996352 = 2107139
BaseRepresentation
bin11110011010000000000
31212121201221
43303100000
5223340402
633204424
711316550
oct3632000
91777657
10996352
11620635
12400714
1328b676
141bd160
1514a337
hexf3400

996352 has 44 divisors (see below), whose sum is σ = 2292640. Its totient is φ = 423936.

The previous prime is 996329. The next prime is 996361. The reversal of 996352 is 253699.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

996352 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7099 + ... + 7237.

2996352 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 996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146320).

996352 is an abundant number, since it is smaller than the sum of its proper divisors (1296288).

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

996352 is a wasteful number, since it uses less digits than its factorization.

996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its digits is 14580, while the sum is 34.

The square root of 996352 is about 998.1743334709. The cubic root of 996352 is about 99.8782518340.

The spelling of 996352 in words is "nine hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 256 278 448 512 556 896 973 1024 1112 1792 1946 2224 3584 3892 4448 7168 7784 8896 15568 17792 31136 35584 62272 71168 124544 142336 249088 498176 996352