Search a number
-
+
261892992 = 2731096257
BaseRepresentation
bin11111001110000…
…10101110000000
3200020210112122110
433213002232000
51014021033432
641553135320
76330024264
oct1747025600
9606715573
10261892992
11124917099
127385a540
1342347a8a
1426ad40a4
1517ed2dcc
hexf9c2b80

261892992 has 64 divisors (see below), whose sum is σ = 702147600. Its totient is φ = 86482944.

The previous prime is 261892987. The next prime is 261892999. The reversal of 261892992 is 299298162.

It is a happy number.

261892992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261892999) 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, 38728 + ... + 44984.

Almost surely, 2261892992 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 261892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351073800).

261892992 is an abundant number, since it is smaller than the sum of its proper divisors (440254608).

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

261892992 is a wasteful number, since it uses less digits than its factorization.

261892992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6371 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 261892992 is about 16183.1082304976. The cubic root of 261892992 is about 639.7956639342.

The spelling of 261892992 in words is "two hundred sixty-one million, eight hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3488 5232 6257 6976 10464 12514 13952 18771 20928 25028 37542 41856 50056 75084 100112 150168 200224 300336 400448 600672 682013 800896 1201344 1364026 2046039 2402688 2728052 4092078 5456104 8184156 10912208 16368312 21824416 32736624 43648832 65473248 87297664 130946496 261892992