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249430005 = 325112192411
BaseRepresentation
bin11101101110111…
…11111111110101
3122101100100122100
432313133333311
51002323230010
640430052313
76116056116
oct1667377765
9571310570
10249430005
11118884500
126b64a099
133c8a3126
14251ac20d
1516d702c0
hexeddfff5

249430005 has 72 divisors (see below), whose sum is σ = 500441760. Its totient is φ = 114523200.

The previous prime is 249430003. The next prime is 249430007. The reversal of 249430005 is 500034942.

It is an interprime number because it is at equal distance from previous prime (249430003) and next prime (249430007).

It is not a de Polignac number, because 249430005 - 21 = 249430003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249430003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102250 + ... + 104660.

It is an arithmetic number, because the mean of its divisors is an integer number (6950580).

Almost surely, 2249430005 is an apocalyptic number.

It is an amenable number.

249430005 is an abundant number, since it is smaller than the sum of its proper divisors (251011755).

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

249430005 is a wasteful number, since it uses less digits than its factorization.

249430005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 249430005 is about 15793.3531905039. The cubic root of 249430005 is about 629.4813948278.

Adding to 249430005 its reverse (500034942), we get a palindrome (749464947).

The spelling of 249430005 in words is "two hundred forty-nine million, four hundred thirty thousand, five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 121 165 171 209 285 363 495 605 627 855 1045 1089 1815 1881 2299 2411 3135 5445 6897 7233 9405 11495 12055 20691 21699 26521 34485 36165 45809 79563 103455 108495 132605 137427 229045 238689 291731 397815 412281 503899 687135 875193 1193445 1458655 1511697 2061405 2519495 2625579 4375965 4535091 5542889 7558485 13127895 16628667 22675455 27714445 49886001 83143335 249430005