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265326480 = 243251753409
BaseRepresentation
bin11111101000010…
…00111110010000
3200111020222111200
433310020332100
51020410421410
642154511200
76401144406
oct1764107620
9614228450
10265326480
11126851791
1274a35500
1342c7a823
1427349476
15184603c0
hexfd08f90

265326480 has 240 divisors, whose sum is σ = 963621360. Its totient is φ = 65175552.

The previous prime is 265326461. The next prime is 265326487. The reversal of 265326480 is 84623562.

265326480 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 2 + 648 + 0 = 666.

265326480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 47114496 + 218211984 = 6864^2 + 14772^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265326487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648516 + ... + 648924.

It is an arithmetic number, because the mean of its divisors is an integer number (4015089).

Almost surely, 2265326480 is an apocalyptic number.

265326480 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 265326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481810680).

265326480 is an abundant number, since it is smaller than the sum of its proper divisors (698294880).

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

265326480 is a wasteful number, since it uses less digits than its factorization.

265326480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 265326480 is about 16288.8452629399. The cubic root of 265326480 is about 642.5794983060.

The spelling of 265326480 in words is "two hundred sixty-five million, three hundred twenty-six thousand, four hundred eighty".