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248085152 = 2571107523
BaseRepresentation
bin11101100100101…
…11101010100000
3122021211000211222
432302113222200
51002002211102
640341154212
76101455220
oct1662275240
9567730758
10248085152
11118046057
126b0bb968
133c521c63
1424d3c080
1516ba6aa2
hexec97aa0

248085152 has 24 divisors (see below), whose sum is σ = 558192096. Its totient is φ = 106322112.

The previous prime is 248085143. The next prime is 248085161. The reversal of 248085152 is 251580842.

It is a happy number.

248085152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248085143) and next prime (248085161).

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, 553538 + ... + 553985.

It is an arithmetic number, because the mean of its divisors is an integer number (23258004).

Almost surely, 2248085152 is an apocalyptic number.

It is an amenable number.

248085152 is an abundant number, since it is smaller than the sum of its proper divisors (310106944).

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

248085152 is a wasteful number, since it uses less digits than its factorization.

248085152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107540 (or 1107532 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 248085152 is about 15750.7190946953. The cubic root of 248085152 is about 628.3480294664.

The spelling of 248085152 in words is "two hundred forty-eight million, eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1107523 2215046 4430092 7752661 8860184 15505322 17720368 31010644 35440736 62021288 124042576 248085152