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248025240 = 23355171979
BaseRepresentation
bin11101100100010…
…01000010011000
3122021200222200000
432302021002120
51001443301430
640340013000
76101115441
oct1662110230
9567628600
10248025240
11118005041
126b091160
133c5008c8
1424d242c8
1516b93e60
hexec89098

248025240 has 384 divisors, whose sum is σ = 943488000. Its totient is φ = 58226688.

The previous prime is 248025229. The next prime is 248025241. The reversal of 248025240 is 42520842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248025241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3139521 + ... + 3139599.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2248025240 is an apocalyptic number.

248025240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248025240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

248025240 is an abundant number, since it is smaller than the sum of its proper divisors (695462760).

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

248025240 is a wasteful number, since it uses less digits than its factorization.

248025240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 248025240 is about 15748.8170984363. The cubic root of 248025240 is about 628.2974438541.

The spelling of 248025240 in words is "two hundred forty-eight million, twenty-five thousand, two hundred forty".