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249069436 = 227113172551
BaseRepresentation
bin11101101100001…
…11111101111100
3122100200001000221
432312013331330
51002230210221
640414231124
76113024650
oct1666077574
9570601027
10249069436
11118658610
126b4b54a4
133c7a7c85
1425116a60
1516ced541
hexed87f7c

249069436 has 48 divisors (see below), whose sum is σ = 545352192. Its totient is φ = 96696000.

The previous prime is 249069421. The next prime is 249069451. The reversal of 249069436 is 634960942.

It is an interprime number because it is at equal distance from previous prime (249069421) and next prime (249069451).

It is a junction number, because it is equal to n+sod(n) for n = 249069392 and 249069401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96361 + ... + 98911.

It is an arithmetic number, because the mean of its divisors is an integer number (11361504).

Almost surely, 2249069436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249069436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272676096).

249069436 is an abundant number, since it is smaller than the sum of its proper divisors (296282756).

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

249069436 is a wasteful number, since it uses less digits than its factorization.

249069436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 249069436 is about 15781.9338485497. The cubic root of 249069436 is about 629.1779283532.

The spelling of 249069436 in words is "two hundred forty-nine million, sixty-nine thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 317 634 1268 2219 2551 3487 4438 5102 6974 8876 10204 13948 17857 24409 28061 35714 48818 56122 71428 97636 112244 196427 392854 785708 808667 1617334 3234668 5660669 8895337 11321338 17790674 22642676 35581348 62267359 124534718 249069436