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261551104 = 2101631567
BaseRepresentation
bin11111001011011…
…11010000000000
3200020011011122221
433211233100000
51013424113404
641541540424
76324101443
oct1745572000
9606134587
10261551104
11124703241
1273714714
1342258289
1426a4565a
1517e66954
hexf96f400

261551104 has 44 divisors (see below), whose sum is σ = 526390144. Its totient is φ = 129890304.

The previous prime is 261551053. The next prime is 261551107. The reversal of 261551104 is 401155162.

It is a happy number.

261551104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261551107) 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 3 ways as a sum of consecutive naturals, for example, 166129 + ... + 167695.

Almost surely, 2261551104 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 261551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263195072).

261551104 is an abundant number, since it is smaller than the sum of its proper divisors (264839040).

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

261551104 is a wasteful number, since it uses less digits than its factorization.

261551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 261551104 is about 16172.5416679012. The cubic root of 261551104 is about 639.5171357825.

The spelling of 261551104 in words is "two hundred sixty-one million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 512 652 1024 1304 1567 2608 3134 5216 6268 10432 12536 20864 25072 41728 50144 83456 100288 166912 200576 255421 401152 510842 802304 1021684 1604608 2043368 4086736 8173472 16346944 32693888 65387776 130775552 261551104