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261442404 = 22344119681
BaseRepresentation
bin11111001010101…
…00101101100100
3200012221122120000
433211110231210
51013412124104
641535341300
76323136516
oct1745245544
9605848500
10261442404
11124639603
1273681830
134221a962
1426a17bb6
1517e44639
hexf954b64

261442404 has 60 divisors (see below), whose sum is σ = 700167468. Its totient is φ = 85017600.

The previous prime is 261442399. The next prime is 261442417. The reversal of 261442404 is 404244162.

It is a happy number.

261442404 is a `hidden beast` number, since 2 + 614 + 4 + 2 + 40 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142850304 + 118592100 = 11952^2 + 10890^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3444 + ... + 23124.

Almost surely, 2261442404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261442404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350083734).

261442404 is an abundant number, since it is smaller than the sum of its proper divisors (438725064).

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

261442404 is a wasteful number, since it uses less digits than its factorization.

261442404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19738 (or 19727 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 261442404 is about 16169.1806842524. The cubic root of 261442404 is about 639.4285295866.

Adding to 261442404 its reverse (404244162), we get a palindrome (665686566).

The spelling of 261442404 in words is "two hundred sixty-one million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 19681 39362 59043 78724 118086 177129 236172 354258 531387 708516 806921 1062774 1594161 1613842 2125548 2420763 3188322 3227684 4841526 6376644 7262289 9683052 14524578 21786867 29049156 43573734 65360601 87147468 130721202 261442404