Search a number
-
+
796298328 = 233275712767
BaseRepresentation
bin101111011101101…
…000110001011000
32001111101010221200
4233131220301120
53112323021303
6211003234200
725506265320
oct5735506130
92044333850
10796298328
113795427a1
121a2818960
13c8c88057
1477a84280
1549d953a3
hex2f768c58

796298328 has 96 divisors (see below), whose sum is σ = 2469941760. Its totient is φ = 227033280.

The previous prime is 796298297. The next prime is 796298339. The reversal of 796298328 is 823892697.

It is a happy number.

796298328 is a `hidden beast` number, since 7 + 9 + 629 + 8 + 3 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286401 + ... + 289167.

It is an arithmetic number, because the mean of its divisors is an integer number (25728560).

Almost surely, 2796298328 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 796298328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234970880).

796298328 is an abundant number, since it is smaller than the sum of its proper divisors (1673643432).

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

796298328 is a wasteful number, since it uses less digits than its factorization.

796298328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3350 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 796298328 is about 28218.7584418592. The cubic root of 796298328 is about 926.8837493822.

The spelling of 796298328 in words is "seven hundred ninety-six million, two hundred ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 571 1142 1713 2284 2767 3426 3997 4568 5139 5534 6852 7994 8301 10278 11068 11991 13704 15988 16602 19369 20556 22136 23982 24903 31976 33204 35973 38738 41112 47964 49806 58107 66408 71946 77476 95928 99612 116214 143892 154952 174321 199224 232428 287784 348642 464856 697284 1394568 1579957 3159914 4739871 6319828 9479742 11059699 12639656 14219613 18959484 22119398 28439226 33179097 37918968 44238796 56878452 66358194 88477592 99537291 113756904 132716388 199074582 265432776 398149164 796298328