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996504576 = 21032271429
BaseRepresentation
bin111011011001010…
…111010000000000
32120110002200021220
4323121113100000
54020101121301
6242514315040
733460102104
oct7331272000
92513080256
10996504576
11471556701
12239888a80
1312b5b51a2
14964bb904
155c740936
hex3b657400

996504576 has 88 divisors (see below), whose sum is σ = 2669615520. Its totient is φ = 330473472.

The previous prime is 996504559. The next prime is 996504581. The reversal of 996504576 is 675405699.

It is a cake number, because a cake can be divided into 996504576 parts by 1815 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696630 + ... + 698058.

It is an arithmetic number, because the mean of its divisors is an integer number (30336540).

Almost surely, 2996504576 is an apocalyptic number.

996504576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996504576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334807760).

996504576 is an abundant number, since it is smaller than the sum of its proper divisors (1673110944).

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

996504576 is a wasteful number, since it uses less digits than its factorization.

996504576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The square root of 996504576 is about 31567.4607151098. The cubic root of 996504576 is about 998.8334984699.

The spelling of 996504576 in words is "nine hundred ninety-six million, five hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 512 681 768 908 1024 1362 1429 1536 1816 2724 2858 3072 3632 4287 5448 5716 7264 8574 10896 11432 14528 17148 21792 22864 29056 34296 43584 45728 58112 68592 87168 91456 116224 137184 174336 182912 232448 274368 324383 348672 365824 548736 648766 697344 731648 973149 1097472 1297532 1463296 1946298 2194944 2595064 3892596 4389888 5190128 7785192 10380256 15570384 20760512 31140768 41521024 62281536 83042048 124563072 166084096 249126144 332168192 498252288 996504576