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249672969 = 33713307331
BaseRepresentation
bin11101110000110…
…11010100001001
3122101210200221000
432320123110021
51002404013334
640435205213
76121120350
oct1670332411
9571720830
10249672969
11118a2aaa7
126b746809
133c9598b0
1425232997
1516dbc299
hexee1b509

249672969 has 64 divisors (see below), whose sum is σ = 458106880. Its totient is φ = 130870080.

The previous prime is 249672967. The next prime is 249672971. The reversal of 249672969 is 969276942.

249672969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249672967) and next prime (249672971).

It is not a de Polignac number, because 249672969 - 21 = 249672967 is a prime.

It is a super-2 number, since 2×2496729692 = 124673182898549922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (249672961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754134 + ... + 754464.

It is an arithmetic number, because the mean of its divisors is an integer number (7157920).

Almost surely, 2249672969 is an apocalyptic number.

It is an amenable number.

249672969 is a deficient number, since it is larger than the sum of its proper divisors (208433911).

249672969 is a wasteful number, since it uses less digits than its factorization.

249672969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 249672969 is about 15801.0432883402. The cubic root of 249672969 is about 629.6857162574.

The spelling of 249672969 in words is "two hundred forty-nine million, six hundred seventy-two thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 307 331 351 819 921 993 2149 2317 2457 2763 2979 3991 4303 6447 6951 8289 8937 11973 12909 19341 20853 27937 30121 35919 38727 58023 62559 83811 90363 101617 107757 116181 251433 271089 304851 711319 754299 813267 914553 1321021 2133957 2743659 3963063 6401871 9247147 11889189 19205613 27741441 35667567 83224323 249672969