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261247056 = 24374771233
BaseRepresentation
bin11111001001001…
…01000001010000
3200012120201120220
433210211001100
51013334401211
641531233040
76321364140
oct1744450120
9605521526
10261247056
11124515864
12735a8780
134217ca75
14269a6920
1517e06806
hexf925050

261247056 has 160 divisors (see below), whose sum is σ = 802234368. Its totient is φ = 71715840.

The previous prime is 261247043. The next prime is 261247067. The reversal of 261247056 is 650742162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121116 + ... + 1121348.

Almost surely, 2261247056 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 261247056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401117184).

261247056 is an abundant number, since it is smaller than the sum of its proper divisors (540987312).

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

261247056 is a wasteful number, since it uses less digits than its factorization.

261247056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 261247056 is about 16163.1388040813. The cubic root of 261247056 is about 639.2692310103.

The spelling of 261247056 in words is "two hundred sixty-one million, two hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 71 84 94 112 141 142 168 188 213 233 282 284 329 336 376 426 466 497 564 568 658 699 752 852 932 987 994 1128 1136 1316 1398 1491 1631 1704 1864 1974 1988 2256 2632 2796 2982 3262 3337 3408 3728 3948 3976 4893 5264 5592 5964 6524 6674 7896 7952 9786 10011 10951 11184 11928 13048 13348 15792 16543 19572 20022 21902 23359 23856 26096 26696 32853 33086 39144 40044 43804 46718 49629 53392 65706 66172 70077 76657 78288 80088 87608 93436 99258 115801 131412 132344 140154 153314 160176 175216 186872 198516 229971 231602 262824 264688 280308 306628 347403 373744 397032 459942 463204 525648 560616 613256 694806 777521 794064 919884 926408 1121232 1226512 1389612 1555042 1839768 1852816 2332563 2779224 3110084 3679536 4665126 5442647 5558448 6220168 9330252 10885294 12440336 16327941 18660504 21770588 32655882 37321008 43541176 65311764 87082352 130623528 261247056