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248489550 = 23252836653
BaseRepresentation
bin11101100111110…
…10011001001110
3122022120120120200
432303322121032
51002103131200
640353554330
76105061221
oct1663723116
9568516520
10248489550
111182a1971
126b2759a6
133c63404a
14250055b8
1516c36800
hexecfa64e

248489550 has 72 divisors (see below), whose sum is σ = 675753624. Its totient is φ = 65455680.

The previous prime is 248489537. The next prime is 248489551. The reversal of 248489550 is 55984842.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 248489496 and 248489505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248489551) 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 35 ways as a sum of consecutive naturals, for example, 34024 + ... + 40676.

It is an arithmetic number, because the mean of its divisors is an integer number (9385467).

Almost surely, 2248489550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248489550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337876812).

248489550 is an abundant number, since it is smaller than the sum of its proper divisors (427264074).

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

248489550 is a wasteful number, since it uses less digits than its factorization.

248489550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754 (or 6746 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 248489550 is about 15763.5513130766. The cubic root of 248489550 is about 628.6892627624.

The spelling of 248489550 in words is "two hundred forty-eight million, four hundred eighty-nine thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 83 90 150 166 225 249 415 450 498 747 830 1245 1494 2075 2490 3735 4150 6225 6653 7470 12450 13306 18675 19959 33265 37350 39918 59877 66530 99795 119754 166325 199590 299385 332650 498975 552199 598770 997950 1104398 1496925 1656597 2760995 2993850 3313194 4969791 5521990 8282985 9939582 13804975 16565970 24848955 27609950 41414925 49697910 82829850 124244775 248489550