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796815252 = 223329475413
BaseRepresentation
bin101111011111100…
…110111110010100
32001112100102001000
4233133212332110
53112441042002
6211022303300
725513550352
oct5737467624
92045312030
10796815252
11379866102
121a2a27b30
13c910941c
1477b7a7d2
1549e4861c
hex2f7e6f94

796815252 has 96 divisors (see below), whose sum is σ = 2182924800. Its totient is φ = 250943616.

The previous prime is 796815247. The next prime is 796815259. The reversal of 796815252 is 252518697.

It is a junction number, because it is equal to n+sod(n) for n = 796815198 and 796815207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796815259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144498 + ... + 149910.

It is an arithmetic number, because the mean of its divisors is an integer number (22738800).

Almost surely, 2796815252 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 796815252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091462400).

796815252 is an abundant number, since it is smaller than the sum of its proper divisors (1386109548).

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

796815252 is a wasteful number, since it uses less digits than its factorization.

796815252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5494 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 796815252 is about 28227.9161823894. The cubic root of 796815252 is about 927.0842708865.

It can be divided in two parts, 7968 and 15252, that added together give a triangular number (23220 = T215).

The spelling of 796815252 in words is "seven hundred ninety-six million, eight hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 47 54 58 87 94 108 116 141 174 188 261 282 348 423 522 564 783 846 1044 1269 1363 1566 1692 2538 2726 3132 4089 5076 5413 5452 8178 10826 12267 16239 16356 21652 24534 32478 36801 48717 49068 64956 73602 97434 146151 147204 156977 194868 254411 292302 313954 470931 508822 584604 627908 763233 941862 1017644 1412793 1526466 1883724 2289699 2825586 3052932 4238379 4579398 5651172 6869097 7377919 8476758 9158796 13738194 14755838 16953516 22133757 27476388 29511676 44267514 66401271 88535028 132802542 199203813 265605084 398407626 796815252