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261090486 = 23373107619
BaseRepresentation
bin11111000111111…
…10110010110110
3200012021202211000
433203332302312
51013314343421
641524024130
76320142516
oct1743766266
9605252730
10261090486
11124419168
1273532046
1342126717
1426965846
1517dc5226
hexf8fecb6

261090486 has 64 divisors (see below), whose sum is σ = 594604800. Its totient is φ = 84898368.

The previous prime is 261090481. The next prime is 261090493. The reversal of 261090486 is 684090162.

It is a self number, because there is not a number n which added to its sum of digits gives 261090486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261090481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421485 + ... + 422103.

It is an arithmetic number, because the mean of its divisors is an integer number (9290700).

Almost surely, 2261090486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261090486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297302400).

261090486 is an abundant number, since it is smaller than the sum of its proper divisors (333514314).

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

261090486 is a wasteful number, since it uses less digits than its factorization.

261090486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

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

The square root of 261090486 is about 16158.2946501170. The cubic root of 261090486 is about 639.1414970216.

It can be divided in two parts, 2610 and 90486, that added together give a triangular number (93096 = T431).

The spelling of 261090486 in words is "two hundred sixty-one million, ninety thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 73 107 146 214 219 321 438 619 642 657 963 1238 1314 1857 1926 1971 2889 3714 3942 5571 5778 7811 11142 15622 16713 23433 33426 45187 46866 66233 70299 90374 132466 135561 140598 198699 210897 271122 397398 406683 421794 596097 813366 1192194 1220049 1788291 2440098 3576582 4835009 9670018 14505027 29010054 43515081 87030162 130545243 261090486