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261421404 = 22323672211
BaseRepresentation
bin11111001010011…
…11100101011100
3200012220120202020
433211033211130
51013410441104
641535100140
76323021346
oct1745174534
9605816666
10261421404
11124624852
1273671650
134221122a
1426a10296
1517e3d2d9
hexf94f95c

261421404 has 72 divisors (see below), whose sum is σ = 649208448. Its totient is φ = 81718560.

The previous prime is 261421403. The next prime is 261421409. The reversal of 261421404 is 404124162.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261421403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238859 + ... + 1239069.

It is an arithmetic number, because the mean of its divisors is an integer number (9016784).

Almost surely, 2261421404 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 261421404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324604224).

261421404 is an abundant number, since it is smaller than the sum of its proper divisors (387787044).

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

261421404 is a wasteful number, since it uses less digits than its factorization.

261421404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 261421404 is about 16168.5312876588. The cubic root of 261421404 is about 639.4114087237.

Adding to 261421404 its reverse (404124162), we get a palindrome (665545566).

The spelling of 261421404 in words is "two hundred sixty-one million, four hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 211 268 276 402 422 633 804 844 1266 1541 2532 3082 4489 4623 4853 6164 8978 9246 9706 13467 14137 14559 17956 18492 19412 26934 28274 29118 42411 53868 56548 58236 84822 103247 169644 206494 309741 325151 412988 619482 650302 947179 975453 1238964 1300604 1894358 1950906 2841537 3788716 3901812 5683074 11366148 21785117 43570234 65355351 87140468 130710702 261421404