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248072432 = 2417912031
BaseRepresentation
bin11101100100101…
…00100011110000
3122021210101101212
432302110203300
51002001304212
640341015252
76101403146
oct1662244360
9567711355
10248072432
11118037543
126b0b4528
133c51922a
1424d37596
1516ba2e22
hexec948f0

248072432 has 20 divisors (see below), whose sum is σ = 508913856. Its totient is φ = 116739840.

The previous prime is 248072431. The next prime is 248072437. The reversal of 248072432 is 234270842.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248072431) 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 3 ways as a sum of consecutive naturals, for example, 455744 + ... + 456287.

Almost surely, 2248072432 is an apocalyptic number.

It is an amenable number.

248072432 is an abundant number, since it is smaller than the sum of its proper divisors (260841424).

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

248072432 is a wasteful number, since it uses less digits than its factorization.

248072432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912056 (or 912050 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 248072432 is about 15750.3152984313. The cubic root of 248072432 is about 628.3372902458.

The spelling of 248072432 in words is "two hundred forty-eight million, seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 912031 1824062 3648124 7296248 14592496 15504527 31009054 62018108 124036216 248072432