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249653012 = 227431012053
BaseRepresentation
bin11101110000101…
…10011100010100
3122101202200112212
432320112130110
51002402344022
640434532552
76121005230
oct1670263424
9571680485
10249653012
11118a17004
126b737158
133c95079b
14252295c0
1516db63e2
hexee16714

249653012 has 48 divisors (see below), whose sum is σ = 516227712. Its totient is φ = 103420800.

The previous prime is 249652993. The next prime is 249653029. The reversal of 249653012 is 210356942.

It is a happy number.

249653012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 249653012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120578 + ... + 122630.

It is an arithmetic number, because the mean of its divisors is an integer number (10754744).

Almost surely, 2249653012 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 249653012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258113856).

249653012 is an abundant number, since it is smaller than the sum of its proper divisors (266574700).

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

249653012 is a wasteful number, since it uses less digits than its factorization.

249653012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 249653012 is about 15800.4117667863. The cubic root of 249653012 is about 629.6689383462.

The spelling of 249653012 in words is "two hundred forty-nine million, six hundred fifty-three thousand, twelve".

Divisors: 1 2 4 7 14 28 43 86 101 172 202 301 404 602 707 1204 1414 2053 2828 4106 4343 8212 8686 14371 17372 28742 30401 57484 60802 88279 121604 176558 207353 353116 414706 617953 829412 1235906 1451471 2471812 2902942 5805884 8916179 17832358 35664716 62413253 124826506 249653012