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261245432 = 23731612467
BaseRepresentation
bin11111001001001…
…00100111111000
3200012120122100202
433210210213320
51013334323212
641531221332
76321356330
oct1744444770
9605518322
10261245432
11124514618
12735a7848
134217c0c6
14269a60c0
1517e060c2
hexf9249f8

261245432 has 64 divisors (see below), whose sum is σ = 587581440. Its totient is φ = 106531200.

The previous prime is 261245429. The next prime is 261245461. The reversal of 261245432 is 234542162.

It is a junction number, because it is equal to n+sod(n) for n = 261245395 and 261245404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104663 + ... + 107129.

It is an arithmetic number, because the mean of its divisors is an integer number (9180960).

Almost surely, 2261245432 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 261245432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293790720).

261245432 is an abundant number, since it is smaller than the sum of its proper divisors (326336008).

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

261245432 is a wasteful number, since it uses less digits than its factorization.

261245432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2568 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 261245432 is about 16163.0885662363. The cubic root of 261245432 is about 639.2679063697.

Adding to 261245432 its reverse (234542162), we get a palindrome (495787594).

The spelling of 261245432 in words is "two hundred sixty-one million, two hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 61 62 122 124 217 244 248 427 434 488 854 868 1708 1736 1891 2467 3416 3782 4934 7564 9868 13237 15128 17269 19736 26474 34538 52948 69076 76477 105896 138152 150487 152954 300974 305908 535339 601948 611816 1053409 1070678 1203896 2106818 2141356 4213636 4282712 4665097 8427272 9330194 18660388 32655679 37320776 65311358 130622716 261245432