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872468883 = 3211131739877
BaseRepresentation
bin110100000000001…
…101000110010011
32020210201000022100
4310000031012103
53241323001013
6222324011443
730422602026
oct6400150623
92223630270
10872468883
11408538870
12204230b83
1310b9a73a0
1483c311bd
15518de473
hex3400d193

872468883 has 48 divisors (see below), whose sum is σ = 1567683936. Its totient is φ = 459371520.

The previous prime is 872468879. The next prime is 872468893. The reversal of 872468883 is 388864278.

It is not a de Polignac number, because 872468883 - 22 = 872468879 is a prime.

It is a super-2 number, since 2×8724688832 = 1522403903606535378, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (872468893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941 + ... + 41817.

It is an arithmetic number, because the mean of its divisors is an integer number (32660082).

Almost surely, 2872468883 is an apocalyptic number.

872468883 is a deficient number, since it is larger than the sum of its proper divisors (695215053).

872468883 is a wasteful number, since it uses less digits than its factorization.

872468883 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39924 (or 39921 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 872468883 is about 29537.5842444842. The cubic root of 872468883 is about 955.5424430361.

The spelling of 872468883 in words is "eight hundred seventy-two million, four hundred sixty-eight thousand, eight hundred eighty-three".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2431 7293 21879 39877 119631 358893 438647 518401 677909 1315941 1555203 2033727 3947823 4665609 5702411 6101181 7456999 8812817 17107233 22370997 26438451 51321699 67112991 79315353 96940987 290822961 872468883