Search a number
-
+
795103974 = 2327172316139
BaseRepresentation
bin101111011001000…
…101001011100110
32001102010110121100
4233121011023212
53112021311344
6210521500530
725463162250
oct5731051346
92042113540
10795103974
113788a7425
121a2341746
13c895a532
1477852cd0
1549c0b569
hex2f6452e6

795103974 has 96 divisors (see below), whose sum is σ = 2175413760. Its totient is φ = 204500736.

The previous prime is 795103949. The next prime is 795103979. The reversal of 795103974 is 479301597.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795103979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41197 + ... + 57335.

It is an arithmetic number, because the mean of its divisors is an integer number (22660560).

Almost surely, 2795103974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795103974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087706880).

795103974 is an abundant number, since it is smaller than the sum of its proper divisors (1380309786).

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

795103974 is a wasteful number, since it uses less digits than its factorization.

795103974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16194 (or 16191 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 795103974 is about 28197.5880883454. The cubic root of 795103974 is about 926.4201119042.

The spelling of 795103974 in words is "seven hundred ninety-five million, one hundred three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 102 119 126 138 153 161 207 238 306 322 357 391 414 483 714 782 966 1071 1173 1449 2142 2346 2737 2898 3519 5474 7038 8211 16139 16422 24633 32278 48417 49266 96834 112973 145251 225946 274363 290502 338919 371197 548726 677838 742394 823089 1016757 1113591 1646178 1920541 2033514 2227182 2469267 2598379 3340773 3841082 4938534 5196758 5761623 6310349 6681546 7795137 11523246 12620698 15590274 17284869 18931047 23385411 34569738 37862094 44172443 46770822 56793141 88344886 113586282 132517329 265034658 397551987 795103974