Search a number
-
+
797271696 = 24321321812
BaseRepresentation
bin101111100001010…
…110011010010000
32001120012121011100
4233201112122100
53113100143241
6211040144400
725520461164
oct5741263220
92046177140
10797271696
1137a048031
121a3008100
13c9239100
1477c58ca4
1549ed89b6
hex2f856690

797271696 has 135 divisors (see below), whose sum is σ = 2429513307. Its totient is φ = 243959040.

The previous prime is 797271653. The next prime is 797271707. The reversal of 797271696 is 696172797.

It is a happy number.

The square root of 797271696 is 28236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 614048400 + 183223296 = 24780^2 + 13536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4404726 + ... + 4404906.

Almost surely, 2797271696 is an apocalyptic number.

797271696 is the 28236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797271696

797271696 is an abundant number, since it is smaller than the sum of its proper divisors (1632241611).

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

797271696 is a wasteful number, since it uses less digits than its factorization.

797271696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 199 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The cubic root of 797271696 is about 927.2612593318.

The spelling of 797271696 in words is "seven hundred ninety-seven million, two hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 181 208 234 312 338 362 468 507 543 624 676 724 936 1014 1086 1352 1448 1521 1629 1872 2028 2172 2353 2704 2896 3042 3258 4056 4344 4706 6084 6516 7059 8112 8688 9412 12168 13032 14118 18824 21177 24336 26064 28236 30589 32761 37648 42354 56472 61178 65522 84708 91767 98283 112944 122356 131044 169416 183534 196566 244712 262088 275301 294849 338832 367068 393132 425893 489424 524176 550602 589698 734136 786264 851786 1101204 1179396 1277679 1468272 1572528 1703572 2202408 2358792 2555358 3407144 3833037 4404816 4717584 5110716 5536609 6814288 7666074 10221432 11073218 15332148 16609827 20442864 22146436 30664296 33219654 44292872 49829481 61328592 66439308 88585744 99658962 132878616 199317924 265757232 398635848 797271696