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248006944 = 2531250007
BaseRepresentation
bin11101100100001…
…00100100100000
3122021200001120101
432302010210200
51001442210234
640335352144
76101011213
oct1662044440
9567601511
10248006944
11117aa2319
126b082654
133c4c5493
1424d1b77a
1516b8d814
hexec84920

248006944 has 24 divisors (see below), whose sum is σ = 504016128. Its totient is φ = 120002880.

The previous prime is 248006939. The next prime is 248006963. The reversal of 248006944 is 449600842.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124012 + ... + 125995.

It is an arithmetic number, because the mean of its divisors is an integer number (21000672).

Almost surely, 2248006944 is an apocalyptic number.

It is an amenable number.

248006944 is an abundant number, since it is smaller than the sum of its proper divisors (256009184).

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

248006944 is a wasteful number, since it uses less digits than its factorization.

248006944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250048 (or 250040 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 248006944 is about 15748.2362187008. The cubic root of 248006944 is about 628.2819943341.

The spelling of 248006944 in words is "two hundred forty-eight million, six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 250007 500014 1000028 2000056 4000112 7750217 8000224 15500434 31000868 62001736 124003472 248006944