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265981968 = 2435729337
BaseRepresentation
bin11111101101010…
…01000000010000
3200112111021200000
433312221000100
51021042410333
642220530000
76406544430
oct1766510020
9615437600
10265981968
1112715a20a
12750b0900
1343149ca5
142747a2c0
151853e713
hexfda9010

265981968 has 240 divisors, whose sum is σ = 915358080. Its totient is φ = 73156608.

The previous prime is 265981951. The next prime is 265981987. The reversal of 265981968 is 869189562.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789096 + ... + 789432.

It is an arithmetic number, because the mean of its divisors is an integer number (3813992).

Almost surely, 2265981968 is an apocalyptic number.

265981968 is a gapful number since it is divisible by the number (28) 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 265981968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457679040).

265981968 is an abundant number, since it is smaller than the sum of its proper divisors (649376112).

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

265981968 is a wasteful number, since it uses less digits than its factorization.

265981968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 265981968 is about 16308.9536145027. The cubic root of 265981968 is about 643.1082264918.

The spelling of 265981968 in words is "two hundred sixty-five million, nine hundred eighty-one thousand, nine hundred sixty-eight".