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248426328 = 23327293793
BaseRepresentation
bin11101100111010…
…10111101011000
3122022110100212010
432303222331120
51002044120303
640352345520
76104406003
oct1663527530
9568410763
10248426328
11118259417
126b2452a0
133c611337
1424dca53a
1516c22c03
hexeceaf58

248426328 has 32 divisors (see below), whose sum is σ = 621457200. Its totient is φ = 82756608.

The previous prime is 248426309. The next prime is 248426329. The reversal of 248426328 is 823624842.

248426328 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 (248426329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63600 + ... + 67392.

Almost surely, 2248426328 is an apocalyptic number.

It is an amenable number.

248426328 is an abundant number, since it is smaller than the sum of its proper divisors (373030872).

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

248426328 is a wasteful number, since it uses less digits than its factorization.

248426328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6527 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 248426328 is about 15761.5458632712. The cubic root of 248426328 is about 628.6359401124.

The spelling of 248426328 in words is "two hundred forty-eight million, four hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 2729 3793 5458 7586 8187 10916 11379 15172 16374 21832 22758 30344 32748 45516 65496 91032 10351097 20702194 31053291 41404388 62106582 82808776 124213164 248426328