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261486992 = 24133761557
BaseRepresentation
bin11111001010111…
…11100110010000
3200020000220201102
433211133212100
51013420040432
641540323532
76323413514
oct1745374620
9606026642
10261486992
1112466a058
12736a35a8
1342235040
1426a2a144
1517e52962
hexf95f990

261486992 has 80 divisors (see below), whose sum is σ = 570557232. Its totient is φ = 115292160.

The previous prime is 261486989. The next prime is 261487003. The reversal of 261486992 is 299684162.

It can be written as a sum of positive squares in 8 ways, for example, as 62789776 + 198697216 = 7924^2 + 14096^2 .

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, 469178 + ... + 469734.

Almost surely, 2261486992 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 261486992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285278616).

261486992 is an abundant number, since it is smaller than the sum of its proper divisors (309070240).

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

261486992 is a wasteful number, since it uses less digits than its factorization.

261486992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The square root of 261486992 is about 16170.5594213682. The cubic root of 261486992 is about 639.4648782153.

The spelling of 261486992 in words is "two hundred sixty-one million, four hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 37 52 61 74 104 122 148 208 244 296 481 488 557 592 793 962 976 1114 1586 1924 2228 2257 3172 3848 4456 4514 6344 7241 7696 8912 9028 12688 14482 18056 20609 28964 29341 33977 36112 41218 57928 58682 67954 82436 115856 117364 135908 164872 234728 267917 271816 329744 441701 469456 535834 543632 883402 1071668 1257149 1766804 2143336 2514298 3533608 4286672 5028596 7067216 10057192 16342937 20114384 32685874 65371748 130743496 261486992