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261245493 = 3437611429
BaseRepresentation
bin11111001001001…
…00101000110101
3200012120122110000
433210210220311
51013334323433
641531221513
76321356445
oct1744445065
9605518400
10261245493
11124514673
12735a7899
134217c142
14269a6125
1517e06113
hexf924a35

261245493 has 40 divisors (see below), whose sum is σ = 407658680. Its totient is φ = 166561920.

The previous prime is 261245483. The next prime is 261245503. The reversal of 261245493 is 394542162.

It is a happy number.

261245493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261245483) and next prime (261245503).

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 260402769 = 918^2 + 16137^2 .

It is not a de Polignac number, because 261245493 - 25 = 261245461 is a prime.

It is a super-2 number, since 2×2612454932 = 136498415225626098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261245483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182103 + ... + 183531.

It is an arithmetic number, because the mean of its divisors is an integer number (10191467).

Almost surely, 2261245493 is an apocalyptic number.

It is an amenable number.

261245493 is a deficient number, since it is larger than the sum of its proper divisors (146413187).

261245493 is a wasteful number, since it uses less digits than its factorization.

261245493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1530 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 261245493 is about 16163.0904532518. The cubic root of 261245493 is about 639.2679561254.

The spelling of 261245493 in words is "two hundred sixty-one million, two hundred forty-five thousand, four hundred ninety-three".

Divisors: 1 3 9 27 37 61 81 111 183 333 549 999 1429 1647 2257 2997 4287 4941 6771 12861 20313 38583 52873 60939 87169 115749 158619 182817 261507 475857 784521 1427571 2353563 3225253 4282713 7060689 9675759 29027277 87081831 261245493