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799217664 = 2113718583
BaseRepresentation
bin101111101000110…
…001100000000000
32001200212110112020
4233220301200000
53114044431124
6211150001440
725543144440
oct5750614000
92050773466
10799217664
11380157073
121a37a6280
13c976aa7b
1478204120
154a270379
hex2fa31800

799217664 has 96 divisors (see below), whose sum is σ = 2435247360. Its totient is φ = 228335616.

The previous prime is 799217663. The next prime is 799217681. The reversal of 799217664 is 466712997.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799217663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33717 + ... + 52299.

It is an arithmetic number, because the mean of its divisors is an integer number (25367160).

Almost surely, 2799217664 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 799217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217623680).

799217664 is an abundant number, since it is smaller than the sum of its proper divisors (1636029696).

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

799217664 is a wasteful number, since it uses less digits than its factorization.

799217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18615 (or 18595 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 799217664 is about 28270.4379874101. The cubic root of 799217664 is about 928.0150611904.

The spelling of 799217664 in words is "seven hundred ninety-nine million, two hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 18583 21504 37166 43008 55749 74332 111498 130081 148664 222996 260162 297328 390243 445992 520324 594656 780486 891984 1040648 1189312 1560972 1783968 2081296 2378624 3121944 3567936 4162592 4757248 6243888 7135872 8325184 9514496 12487776 14271744 16650368 19028992 24975552 28543488 33300736 38057984 49951104 57086976 66601472 99902208 114173952 133202944 199804416 266405888 399608832 799217664