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261075552 = 25331372371
BaseRepresentation
bin11111000111110…
…11001001100000
3200012021000022220
433203323021200
51013313404202
641523431040
76320051133
oct1743731140
9605230286
10261075552
11124408a21
1273525480
134211c99a
142696021a
1517dc0abc
hexf8fb260

261075552 has 96 divisors (see below), whose sum is σ = 726856704. Its totient is φ = 81907200.

The previous prime is 261075497. The next prime is 261075559. The reversal of 261075552 is 255570162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261075559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108927 + ... + 111297.

It is an arithmetic number, because the mean of its divisors is an integer number (7571424).

Almost surely, 2261075552 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 261075552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363428352).

261075552 is an abundant number, since it is smaller than the sum of its proper divisors (465781152).

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

261075552 is a wasteful number, since it uses less digits than its factorization.

261075552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 261075552 is about 16157.8325279104. The cubic root of 261075552 is about 639.1293107981.

The spelling of 261075552 in words is "two hundred sixty-one million, seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 2294 2371 2976 3441 3552 4588 4742 6882 7113 9176 9484 13764 14226 18352 18968 27528 28452 36704 37936 55056 56904 73501 75872 87727 110112 113808 147002 175454 220503 227616 263181 294004 350908 441006 526362 588008 701816 882012 1052724 1176016 1403632 1764024 2105448 2352032 2719537 2807264 3528048 4210896 5439074 7056096 8158611 8421792 10878148 16317222 21756296 32634444 43512592 65268888 87025184 130537776 261075552