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248463864 = 233211313717
BaseRepresentation
bin11101100111101…
…00000111111000
3122022112021100100
432303310013320
51002101320424
640353235400
76104623305
oct1663640770
9568467310
10248463864
11118284640
126b262b60
133c62544c
1424dda0ac
1516c2ddc9
hexecf41f8

248463864 has 48 divisors (see below), whose sum is σ = 734100120. Its totient is φ = 75291840.

The previous prime is 248463863. The next prime is 248463877. The reversal of 248463864 is 468364842.

248463864 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 638 + 6 + 4 = 666.

248463864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248463863) 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, 156067 + ... + 157650.

Almost surely, 2248463864 is an apocalyptic number.

248463864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248463864 is an abundant number, since it is smaller than the sum of its proper divisors (485636256).

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

248463864 is a wasteful number, since it uses less digits than its factorization.

248463864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313740 (or 313733 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 248463864 is about 15762.7365644421. The cubic root of 248463864 is about 628.6675997873.

The spelling of 248463864 in words is "two hundred forty-eight million, four hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 313717 627434 941151 1254868 1882302 2509736 2823453 3450887 3764604 5646906 6901774 7529208 10352661 11293812 13803548 20705322 22587624 27607096 31057983 41410644 62115966 82821288 124231932 248463864