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261491328 = 273571201
BaseRepresentation
bin11111001011000…
…00101010000000
3200020001010200000
433211200222000
51013420210303
641540400000
76323432250
oct1745405200
9606033600
10261491328
1112467233a
12736a6000
1342236cc7
1426a2b960
1517e53da3
hexf960a80

261491328 has 192 divisors, whose sum is σ = 892557120. Its totient is φ = 74649600.

The previous prime is 261491311. The next prime is 261491333. The reversal of 261491328 is 823194162.

261491328 is a `hidden beast` number, since 2 + 614 + 9 + 1 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 261491292 and 261491301.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 217128 + ... + 218328.

It is an arithmetic number, because the mean of its divisors is an integer number (4648735).

Almost surely, 2261491328 is an apocalyptic number.

261491328 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 261491328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446278560).

261491328 is an abundant number, since it is smaller than the sum of its proper divisors (631065792).

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

261491328 is an equidigital number, since it uses as much as digits as its factorization.

261491328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1213 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 261491328 is about 16170.6934916224. The cubic root of 261491328 is about 639.4684127498.

The spelling of 261491328 in words is "two hundred sixty-one million, four hundred ninety-one thousand, three hundred twenty-eight".