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261326416 = 24138091553
BaseRepresentation
bin11111001001110…
…00011001010000
3200012201202110011
433210320121100
51013344421131
641533044304
76322144411
oct1744703120
9605652404
10261326416
1112456a44a
1273626694
13421a9c20
14269c7808
1517e200b1
hexf938650

261326416 has 40 divisors (see below), whose sum is σ = 546293160. Its totient is φ = 120385536.

The previous prime is 261326393. The next prime is 261326419. The reversal of 261326416 is 614623162.

It can be written as a sum of positive squares in 4 ways, for example, as 8643600 + 252682816 = 2940^2 + 15896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261326419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167496 + ... + 169048.

It is an arithmetic number, because the mean of its divisors is an integer number (13657329).

Almost surely, 2261326416 is an apocalyptic number.

261326416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

261326416 is an abundant number, since it is smaller than the sum of its proper divisors (284966744).

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

261326416 is a wasteful number, since it uses less digits than its factorization.

261326416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2377 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 261326416 is about 16165.5935863797. The cubic root of 261326416 is about 639.3339555291. Note that the first 3 decimals are identical.

Adding to 261326416 its reverse (614623162), we get a palindrome (875949578).

The spelling of 261326416 in words is "two hundred sixty-one million, three hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 809 1553 1618 3106 3236 6212 6472 10517 12424 12944 20189 21034 24848 40378 42068 80756 84136 161512 168272 323024 1256377 2512754 5025508 10051016 16332901 20102032 32665802 65331604 130663208 261326416