Search a number
-
+
791314425 = 3252112313901
BaseRepresentation
bin101111001010100…
…111111111111001
32001010222221022200
4233022213333321
53110034030200
6210304340413
725416030066
oct5712477771
92033887280
10791314425
11376749270
121a1014709
13c7c316b5
1477147c6d
154970d800
hex2f2a7ff9

791314425 has 72 divisors (see below), whose sum is σ = 1613521728. Its totient is φ = 366960000.

The previous prime is 791314411. The next prime is 791314427. The reversal of 791314425 is 524413197.

It is not a de Polignac number, because 791314425 - 24 = 791314409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 791314425.

It is not an unprimeable number, because it can be changed into a prime (791314427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49975 + ... + 63875.

It is an arithmetic number, because the mean of its divisors is an integer number (22410024).

Almost surely, 2791314425 is an apocalyptic number.

791314425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

791314425 is an abundant number, since it is smaller than the sum of its proper divisors (822207303).

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

791314425 is a wasteful number, since it uses less digits than its factorization.

791314425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13943 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 791314425 is about 28130.3114984531. The cubic root of 791314425 is about 924.9459622681.

The spelling of 791314425 in words is "seven hundred ninety-one million, three hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 33 45 55 69 75 99 115 165 207 225 253 275 345 495 575 759 825 1035 1265 1725 2277 2475 3795 5175 6325 11385 13901 18975 41703 56925 69505 125109 152911 208515 319723 347525 458733 625545 764555 959169 1042575 1376199 1598615 2293665 2877507 3127725 3516953 3822775 4795845 6880995 7993075 10550859 11468325 14387535 17584765 23979225 31652577 34404975 52754295 71937675 87923825 158262885 263771475 791314425