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261433464 = 233194367199
BaseRepresentation
bin11111001010100…
…10100001111000
3200012221012021220
433211102201320
51013411332324
641535232040
76323101455
oct1745224170
9605835256
10261433464
11124632916
1273678620
1342216876
1426a1482c
1517e41b79
hexf952878

261433464 has 128 divisors (see below), whose sum is σ = 718080000. Its totient is φ = 79035264.

The previous prime is 261433439. The next prime is 261433477. The reversal of 261433464 is 464334162.

261433464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313637 + ... + 1313835.

It is an arithmetic number, because the mean of its divisors is an integer number (5610000).

Almost surely, 2261433464 is an apocalyptic number.

261433464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

261433464 is the 8643-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261433464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359040000).

261433464 is an abundant number, since it is smaller than the sum of its proper divisors (456646536).

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

261433464 is a wasteful number, since it uses less digits than its factorization.

261433464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 261433464 is about 16168.9042300336. The cubic root of 261433464 is about 639.4212411028.

The spelling of 261433464 in words is "two hundred sixty-one million, four hundred thirty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 67 76 86 114 129 134 152 172 199 201 228 258 268 344 398 402 456 516 536 597 796 804 817 1032 1194 1273 1592 1608 1634 2388 2451 2546 2881 3268 3781 3819 4776 4902 5092 5762 6536 7562 7638 8557 8643 9804 10184 11343 11524 13333 15124 15276 17114 17286 19608 22686 23048 25671 26666 30248 30552 34228 34572 39999 45372 51342 53332 54739 68456 69144 79998 90744 102684 106664 109478 159996 162583 164217 205368 218956 253327 319992 325166 328434 437912 487749 506654 573319 650332 656868 759981 975498 1013308 1146638 1300664 1313736 1519962 1719957 1950996 2026616 2293276 3039924 3439914 3901992 4586552 6079848 6879828 10893061 13759656 21786122 32679183 43572244 65358366 87144488 130716732 261433464