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996000512 = 28131072797
BaseRepresentation
bin111011010111011…
…100001100000000
32120102011001211212
4323113130030000
54014434004022
6242455425252
733452602403
oct7327341400
92512131755
10996000512
11471241a21
12239685228
1312b469920
14963c9d3a
155c6913e2
hex3b5dc300

996000512 has 72 divisors (see below), whose sum is σ = 2161824336. Its totient is φ = 455233536.

The previous prime is 996000503. The next prime is 996000517. The reversal of 996000512 is 215000699.

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 (996000517) 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, 354698 + ... + 357494.

It is an arithmetic number, because the mean of its divisors is an integer number (30025338).

Almost surely, 2996000512 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 996000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080912168).

996000512 is an abundant number, since it is smaller than the sum of its proper divisors (1165823824).

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

996000512 is a wasteful number, since it uses less digits than its factorization.

996000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2919 counting only the distinct ones).

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

The square root of 996000512 is about 31559.4757877884. The cubic root of 996000512 is about 998.6650560510.

The spelling of 996000512 in words is "nine hundred ninety-six million, five hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 128 208 214 256 416 428 832 856 1391 1664 1712 2782 2797 3328 3424 5564 5594 6848 11128 11188 13696 22256 22376 27392 36361 44512 44752 72722 89024 89504 145444 178048 179008 290888 299279 356096 358016 581776 598558 716032 1163552 1197116 2327104 2394232 3890627 4654208 4788464 7781254 9308416 9576928 15562508 19153856 31125016 38307712 62250032 76615424 124500064 249000128 498000256 996000512