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248960244 = 2231329113487
BaseRepresentation
bin11101101011011…
…01010011110100
3122100110111020210
432311231103310
51002213211434
640412025420
76112061421
oct1665552364
9570414223
10248960244
11118593575
126b462270
133c76a370
14250c8d48
1516ccaee9
hexed6d4f4

248960244 has 96 divisors (see below), whose sum is σ = 654232320. Its totient is φ = 73156608.

The previous prime is 248960237. The next prime is 248960333. The reversal of 248960244 is 442069842.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510969 + ... + 511455.

It is an arithmetic number, because the mean of its divisors is an integer number (6814920).

Almost surely, 2248960244 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 248960244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327116160).

248960244 is an abundant number, since it is smaller than the sum of its proper divisors (405272076).

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

248960244 is a wasteful number, since it uses less digits than its factorization.

248960244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 248960244 is about 15778.4740707079. The cubic root of 248960244 is about 629.0859710803.

The spelling of 248960244 in words is "two hundred forty-eight million, nine hundred sixty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 113 116 156 174 226 339 348 377 452 487 678 754 974 1131 1356 1461 1469 1508 1948 2262 2922 2938 3277 4407 4524 5844 5876 6331 6554 8814 9831 12662 13108 14123 17628 18993 19662 25324 28246 37986 39324 42369 42601 55031 56492 75972 84738 85202 110062 127803 165093 169476 170404 183599 220124 255606 330186 367198 511212 550797 660372 715403 734396 1101594 1430806 1595899 2146209 2203188 2861612 3191798 4292418 4787697 6383596 8584836 9575394 19150788 20746687 41493374 62240061 82986748 124480122 248960244