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261086976 = 28361399
BaseRepresentation
bin11111000111111…
…01111100000000
3200012021121000000
433203331330000
51013314240401
641524000000
76320126343
oct1743757400
9605247000
10261086976
11124416567
1273530000
1342124c47
142696445a
1517dc4186
hexf8fdf00

261086976 has 126 divisors (see below), whose sum is σ = 781932200. Its totient is φ = 86966784.

The previous prime is 261086963. The next prime is 261086983. The reversal of 261086976 is 679680162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 185925 + ... + 187323.

Almost surely, 2261086976 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 261086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390966100).

261086976 is an abundant number, since it is smaller than the sum of its proper divisors (520845224).

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

261086976 is an frugal number, since it uses more digits than its factorization.

261086976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 261086976 is about 16158.1860368050. The cubic root of 261086976 is about 639.1386328847.

The spelling of 261086976 in words is "two hundred sixty-one million, eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1399 1458 1728 1944 2304 2592 2798 2916 3456 3888 4197 5184 5596 5832 6912 7776 8394 10368 11192 11664 12591 15552 16788 20736 22384 23328 25182 31104 33576 37773 44768 46656 50364 62208 67152 75546 89536 93312 100728 113319 134304 151092 179072 186624 201456 226638 268608 302184 339957 358144 402912 453276 537216 604368 679914 805824 906552 1019871 1074432 1208736 1359828 1611648 1813104 2039742 2417472 2719656 3223296 3626208 4079484 4834944 5439312 7252416 8158968 9669888 10878624 14504832 16317936 21757248 29009664 32635872 43514496 65271744 87028992 130543488 261086976