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248113248 = 25319136027
BaseRepresentation
bin11101100100111…
…10100001100000
3122021212110101120
432302132201200
51002004110443
640341532240
76101633145
oct1662364140
9567773346
10248113248
11118065179
126b114080
133c531996
1424d483cc
1516bb0083
hexec9e860

248113248 has 48 divisors (see below), whose sum is σ = 685581120. Its totient is φ = 78350976.

The previous prime is 248113247. The next prime is 248113277. The reversal of 248113248 is 842311842.

It is a tau number, because it is divible by the number of its divisors (48).

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 (248113247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66190 + ... + 69837.

It is an arithmetic number, because the mean of its divisors is an integer number (14282940).

Almost surely, 2248113248 is an apocalyptic number.

It is an amenable number.

248113248 is an abundant number, since it is smaller than the sum of its proper divisors (437467872).

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

248113248 is a wasteful number, since it uses less digits than its factorization.

248113248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136059 (or 136051 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 248113248 is about 15751.6109652315. The cubic root of 248113248 is about 628.3717490102.

The spelling of 248113248 in words is "two hundred forty-eight million, one hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 136027 272054 408081 544108 816162 1088216 1632324 2176432 2584513 3264648 4352864 5169026 6529296 7753539 10338052 13058592 15507078 20676104 31014156 41352208 62028312 82704416 124056624 248113248