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996441264 = 243472131771
BaseRepresentation
bin111011011001000…
…111110010110000
32120102222110110000
4323121013302300
54020042110024
6242513110000
733456416400
oct7331076260
92512873400
10996441264
11471513085
12239858300
1312b592420
14964a2800
155c72bcc9
hex3b647cb0

996441264 has 600 divisors, whose sum is σ = 3879314208. Its totient is φ = 243855360.

The previous prime is 996441233. The next prime is 996441289. The reversal of 996441264 is 462144699.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14034349 + ... + 14034419.

Almost surely, 2996441264 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 996441264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939657104).

996441264 is an abundant number, since it is smaller than the sum of its proper divisors (2882872944).

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

996441264 is a wasteful number, since it uses less digits than its factorization.

996441264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 996441264 is about 31566.4578944170. The cubic root of 996441264 is about 998.8123447000.

The spelling of 996441264 in words is "nine hundred ninety-six million, four hundred forty-one thousand, two hundred sixty-four".