Search a number
-
+
261398772 = 223323472239
BaseRepresentation
bin11111001010010…
…10000011110100
3200012212102201000
433211022003310
51013404230042
641534403300
76322565355
oct1745120364
9605772630
10261398772
11124609848
1273660530
1342203b3b
1426a05d2c
1517e3674c
hexf94a0f4

261398772 has 96 divisors (see below), whose sum is σ = 722534400. Its totient is φ = 81534816.

The previous prime is 261398759. The next prime is 261398803. The reversal of 261398772 is 277893162.

261398772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 115629 + ... + 117867.

It is an arithmetic number, because the mean of its divisors is an integer number (7526400).

Almost surely, 2261398772 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 261398772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361267200).

261398772 is an abundant number, since it is smaller than the sum of its proper divisors (461135628).

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

261398772 is a wasteful number, since it uses less digits than its factorization.

261398772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2314 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 261398772 is about 16167.8313944697. The cubic root of 261398772 is about 639.3929562986.

The spelling of 261398772 in words is "two hundred sixty-one million, three hundred ninety-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 47 54 69 92 94 108 138 141 188 207 276 282 414 423 564 621 828 846 1081 1242 1269 1692 2162 2239 2484 2538 3243 4324 4478 5076 6486 6717 8956 9729 12972 13434 19458 20151 26868 29187 38916 40302 51497 58374 60453 80604 102994 105233 116748 120906 154491 205988 210466 241812 308982 315699 420932 463473 617964 631398 926946 947097 1262796 1390419 1853892 1894194 2420359 2780838 2841291 3788388 4840718 5561676 5682582 7261077 9681436 11365164 14522154 21783231 29044308 43566462 65349693 87132924 130699386 261398772