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797325312 = 2113718539
BaseRepresentation
bin101111100001100…
…011100000000000
32001120022022201010
4233201203200000
53113103402222
6211041240520
725521103410
oct5741434000
92046268633
10797325312
1137a084343
121a3033140
13c9257634
1477c70640
1549ee980c
hex2f863800

797325312 has 96 divisors (see below), whose sum is σ = 2429481600. Its totient is φ = 227794944.

The previous prime is 797325311. The next prime is 797325349. The reversal of 797325312 is 213523797.

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

It is a super-3 number, since 3×7973253123 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797325311) 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, 33739 + ... + 52277.

It is an arithmetic number, because the mean of its divisors is an integer number (25307100).

Almost surely, 2797325312 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 797325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214740800).

797325312 is an abundant number, since it is smaller than the sum of its proper divisors (1632156288).

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

797325312 is a wasteful number, since it uses less digits than its factorization.

797325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18571 (or 18551 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 797325312 is about 28236.9494103028. The cubic root of 797325312 is about 927.2820447702.

The spelling of 797325312 in words is "seven hundred ninety-seven million, three hundred twenty-five thousand, three hundred twelve".

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 18539 21504 37078 43008 55617 74156 111234 129773 148312 222468 259546 296624 389319 444936 519092 593248 778638 889872 1038184 1186496 1557276 1779744 2076368 2372992 3114552 3559488 4152736 4745984 6229104 7118976 8305472 9491968 12458208 14237952 16610944 18983936 24916416 28475904 33221888 37967872 49832832 56951808 66443776 99665664 113903616 132887552 199331328 265775104 398662656 797325312