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996808896 = 26331633539
BaseRepresentation
bin111011011010100…
…001100011000000
32120110200010202000
4323122201203000
54020140341041
6242525024000
733462510246
oct7332414300
92513603660
10996808896
11471744306
122399b5000
1312b690865
149655a796
155c7a0bb6
hex3b6a18c0

996808896 has 112 divisors (see below), whose sum is σ = 2949244800. Its totient is φ = 330137856.

The previous prime is 996808877. The next prime is 996808907. The reversal of 996808896 is 698808699.

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 15 ways as a sum of consecutive naturals, for example, 279895 + ... + 283433.

Almost surely, 2996808896 is an apocalyptic number.

996808896 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 996808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474622400).

996808896 is an abundant number, since it is smaller than the sum of its proper divisors (1952435904).

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

996808896 is a wasteful number, since it uses less digits than its factorization.

996808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The square root of 996808896 is about 31572.2805004643. The cubic root of 996808896 is about 998.9351651960.

The spelling of 996808896 in words is "nine hundred ninety-six million, eight hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 163 192 216 288 326 432 489 576 652 864 978 1304 1467 1728 1956 2608 2934 3539 3912 4401 5216 5868 7078 7824 8802 10432 10617 11736 14156 15648 17604 21234 23472 28312 31296 31851 35208 42468 46944 56624 63702 70416 84936 93888 95553 113248 127404 140832 169872 191106 226496 254808 281664 339744 382212 509616 576857 679488 764424 1019232 1153714 1528848 1730571 2038464 2307428 3057696 3461142 4614856 5191713 6115392 6922284 9229712 10383426 13844568 15575139 18459424 20766852 27689136 31150278 36918848 41533704 55378272 62300556 83067408 110756544 124601112 166134816 249202224 332269632 498404448 996808896