Search a number
-
+
997569216 = 2633782471
BaseRepresentation
bin111011011101011…
…011001011000000
32120112002202201000
4323131123023000
54020334203331
6242553212000
733502125030
oct7335331300
92515082630
10997569216
11472113576
1223a101000
1312b898957
14966b78c0
155c8a10e6
hex3b75b2c0

997569216 has 112 divisors (see below), whose sum is σ = 3351662080. Its totient is φ = 285016320.

The previous prime is 997569211. The next prime is 997569253. The reversal of 997569216 is 612965799.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (997569211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29140 + ... + 53331.

Almost surely, 2997569216 is an apocalyptic number.

997569216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

997569216 is an abundant number, since it is smaller than the sum of its proper divisors (2354092864).

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

997569216 is a wasteful number, since it uses less digits than its factorization.

997569216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82499 (or 82483 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 997569216 is about 31584.3191473237. The cubic root of 997569216 is about 999.1890812552.

The spelling of 997569216 in words is "nine hundred ninety-seven million, five hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 82471 164942 247413 329884 494826 577297 659768 742239 989652 1154594 1319536 1484478 1731891 1979304 2226717 2309188 2639072 2968956 3463782 3958608 4453434 4618376 5195673 5278144 5937912 6927564 7917216 8906868 9236752 10391346 11875824 13855128 15587019 15834432 17813736 18473504 20782692 23751648 27710256 31174038 35627472 36947008 41565384 47503296 55420512 62348076 71254944 83130768 110841024 124696152 142509888 166261536 249392304 332523072 498784608 997569216