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248481856 = 2674711801
BaseRepresentation
bin11101100111110…
…00100001000000
3122022120012000201
432303320201000
51002102404411
640353454544
76105026620
oct1663704100
9568505021
10248481856
11118297107
126b271454
133c6306ac
1425002880
1516c343c1
hexecf8840

248481856 has 56 divisors (see below), whose sum is σ = 575559936. Its totient is φ = 104217600.

The previous prime is 248481851. The next prime is 248481887. The reversal of 248481856 is 658184842.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2484818562 = 123486465522409472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248481851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15156 + ... + 26956.

It is an arithmetic number, because the mean of its divisors is an integer number (10277856).

Almost surely, 2248481856 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 248481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287779968).

248481856 is an abundant number, since it is smaller than the sum of its proper divisors (327078080).

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

248481856 is a wasteful number, since it uses less digits than its factorization.

248481856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11867 (or 11857 counting only the distinct ones).

The product of its digits is 491520, while the sum is 46.

The square root of 248481856 is about 15763.3072671949. The cubic root of 248481856 is about 628.6827739783.

The spelling of 248481856 in words is "two hundred forty-eight million, four hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 10528 11801 21056 23602 47204 82607 94408 165214 188816 330428 377632 554647 660856 755264 1109294 1321712 2218588 2643424 3882529 4437176 5286848 7765058 8874352 15530116 17748704 31060232 35497408 62120464 124240928 248481856