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248044928 = 2715712343
BaseRepresentation
bin11101100100011…
…01110110000000
3122021201222200012
432302031312000
51001444414203
640340244052
76101230025
oct1662156600
9567658605
10248044928
1111801890a
126b0a0628
133c509861
1424d2b54c
1516b99bd8
hexec8dd80

248044928 has 32 divisors (see below), whose sum is σ = 497339760. Its totient is φ = 123222528.

The previous prime is 248044891. The next prime is 248044987. The reversal of 248044928 is 829440842.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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, 13925 + ... + 26267.

Almost surely, 2248044928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248044928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248669880).

248044928 is an abundant number, since it is smaller than the sum of its proper divisors (249294832).

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

248044928 is a wasteful number, since it uses less digits than its factorization.

248044928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12514 (or 12502 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 248044928 is about 15749.4421488509. The cubic root of 248044928 is about 628.3140679589.

The spelling of 248044928 in words is "two hundred forty-eight million, forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 5024 10048 12343 20096 24686 49372 98744 197488 394976 789952 1579904 1937851 3875702 7751404 15502808 31005616 62011232 124022464 248044928