Search a number
-
+
872635797 = 3211109193419
BaseRepresentation
bin110100000000110…
…101110110010101
32020211000111021100
4310000311312111
53241343321142
6222331340313
730424165455
oct6400656625
92224014240
10872635797
11408642210
122042b1699
1310ba35357
1483c75d65
1551923b4c
hex34035d95

872635797 has 48 divisors (see below), whose sum is σ = 1398196800. Its totient is φ = 520058880.

The previous prime is 872635741. The next prime is 872635811. The reversal of 872635797 is 797536278.

872635797 is a `hidden beast` number, since 8 + 7 + 2 + 63 + 579 + 7 = 666.

It is not a de Polignac number, because 872635797 - 212 = 872631701 is a prime.

It is a super-2 number, since 2×8726357972 = 1522986468411650418, which contains 22 as substring.

Its product of digits (4445280) is a multiple of the sum of its prime divisors (735).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872635717) 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, 2082454 + ... + 2082872.

It is an arithmetic number, because the mean of its divisors is an integer number (29129100).

Almost surely, 2872635797 is an apocalyptic number.

It is an amenable number.

872635797 is a deficient number, since it is larger than the sum of its proper divisors (525561003).

872635797 is a wasteful number, since it uses less digits than its factorization.

872635797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 735 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 872635797 is about 29540.4095604648. The cubic root of 872635797 is about 955.6033748143.

The spelling of 872635797 in words is "eight hundred seventy-two million, six hundred thirty-five thousand, seven hundred ninety-seven".

Divisors: 1 3 9 11 33 99 109 193 327 419 579 981 1199 1257 1737 2123 3597 3771 4609 6369 10791 13827 19107 21037 41481 45671 63111 80867 137013 189333 231407 242601 411039 502381 694221 727803 889537 1507143 2082663 2668611 4521429 8005833 8814503 26443509 79330527 96959533 290878599 872635797