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249279023 = 74473
BaseRepresentation
bin11101101101110…
…11001000101111
3122101001200112102
432312323020233
51002303412043
640422525315
76114560000
oct1666731057
9571050472
10249279023
11118791024
126b59683b
133c84c4a6
142516d1a7
1516d406b8
hexedbb22f

249279023 has 20 divisors (see below), whose sum is σ = 297130080. Its totient is φ = 209121612.

The previous prime is 249278999. The next prime is 249279053. The reversal of 249279023 is 320972942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 249279023 - 214 = 249262639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249279053) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5303786 + ... + 5303832.

It is an arithmetic number, because the mean of its divisors is an integer number (14856504).

Almost surely, 2249279023 is an apocalyptic number.

249279023 is a deficient number, since it is larger than the sum of its proper divisors (47851057).

249279023 is an frugal number, since it uses more digits than its factorization.

249279023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 249279023 is about 15788.5725447236. The cubic root of 249279023 is about 629.3543591321.

The spelling of 249279023 in words is "two hundred forty-nine million, two hundred seventy-nine thousand, twenty-three".

Divisors: 1 7 47 49 329 343 2209 2303 2401 15463 16121 103823 108241 112847 726761 757687 5087327 5303809 35611289 249279023