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793040772 = 2231910732507
BaseRepresentation
bin101111010001001…
…101011110000100
32001021020122102110
4233101031132010
53111004301042
6210405341020
725436510136
oct5721153604
92037218373
10793040772
113777182a7
121a1707770
13c83b73c4
1477477056
154995009c
hex2f44d784

793040772 has 48 divisors (see below), whose sum is σ = 1966083840. Its totient is φ = 248085792.

The previous prime is 793040747. The next prime is 793040777. The reversal of 793040772 is 277040397.

793040772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 793040772.

It is not an unprimeable number, because it can be changed into a prime (793040777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8143 + ... + 40649.

It is an arithmetic number, because the mean of its divisors is an integer number (40960080).

Almost surely, 2793040772 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 793040772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983041920).

793040772 is an abundant number, since it is smaller than the sum of its proper divisors (1173043068).

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

793040772 is a wasteful number, since it uses less digits than its factorization.

793040772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32640 (or 32638 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 793040772 is about 28160.9795994387. The cubic root of 793040772 is about 925.6181004452.

The spelling of 793040772 in words is "seven hundred ninety-three million, forty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 642 1284 2033 4066 6099 8132 12198 24396 32507 65014 97521 130028 195042 390084 617633 1235266 1852899 2470532 3478249 3705798 6956498 7411596 10434747 13912996 20869494 41738988 66086731 132173462 198260193 264346924 396520386 793040772