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996512 = 251119149
BaseRepresentation
bin11110011010010100000
31212121221212
43303102200
5223342022
633205252
711320166
oct3632240
91777855
10996512
11620770
12400828
1328b76a
141bd236
1514a3e2
hexf34a0

996512 has 48 divisors (see below), whose sum is σ = 2268000. Its totient is φ = 426240.

The previous prime is 996511. The next prime is 996529. The reversal of 996512 is 215699.

It is a super-2 number, since 2×9965122 = 1986072332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (996511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6614 + ... + 6762.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2996512 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 996512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134000).

996512 is an abundant number, since it is smaller than the sum of its proper divisors (1271488).

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

996512 is a wasteful number, since it uses less digits than its factorization.

996512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its digits is 4860, while the sum is 32.

The square root of 996512 is about 998.2544765740. The cubic root of 996512 is about 99.8835978914.

The spelling of 996512 in words is "nine hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 149 152 176 209 298 304 352 418 596 608 836 1192 1639 1672 2384 2831 3278 3344 4768 5662 6556 6688 11324 13112 22648 26224 31141 45296 52448 62282 90592 124564 249128 498256 996512