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248860216 = 23112317811
BaseRepresentation
bin11101101010101…
…00111000111000
3122100021102001001
432311110320320
51002202011331
640405534344
76111163663
oct1665247070
9570242031
10248860216
11118525400
126b4143b4
133c733987
14250a06da
1516cab561
hexed54e38

248860216 has 48 divisors (see below), whose sum is σ = 515140920. Its totient is φ = 112622400.

The previous prime is 248860153. The next prime is 248860217. The reversal of 248860216 is 612068842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248860217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306451 + ... + 307261.

Almost surely, 2248860216 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 248860216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257570460).

248860216 is an abundant number, since it is smaller than the sum of its proper divisors (266280704).

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

248860216 is a wasteful number, since it uses less digits than its factorization.

248860216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 248860216 is about 15775.3039907318. The cubic root of 248860216 is about 629.0017077725.

The spelling of 248860216 in words is "two hundred forty-eight million, eight hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 121 242 317 484 634 811 968 1268 1622 2536 3244 3487 6488 6974 8921 13948 17842 27896 35684 38357 71368 76714 98131 153428 196262 257087 306856 392524 514174 785048 1028348 2056696 2827957 5655914 11311828 22623656 31107527 62215054 124430108 248860216