Search a number
-
+
261239748 = 2237111716631
BaseRepresentation
bin11111001001000…
…11001111000100
3200012120100120020
433210203033010
51013334132443
641531135140
76321333630
oct1744431704
9605510506
10261239748
11124510320
12735a44b0
1342179643
14269a3dc0
1517e04583
hexf9233c4

261239748 has 96 divisors (see below), whose sum is σ = 804722688. Its totient is φ = 63859200.

The previous prime is 261239723. The next prime is 261239779. The reversal of 261239748 is 847932162.

261239748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 7393 + ... + 24023.

It is an arithmetic number, because the mean of its divisors is an integer number (8382528).

Almost surely, 2261239748 is an apocalyptic number.

261239748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261239748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402361344).

261239748 is an abundant number, since it is smaller than the sum of its proper divisors (543482940).

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

261239748 is a wasteful number, since it uses less digits than its factorization.

261239748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16673 (or 16671 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 261239748 is about 16162.9127325492. The cubic root of 261239748 is about 639.2632700843.

The spelling of 261239748 in words is "two hundred sixty-one million, two hundred thirty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 15708 16631 33262 49893 66524 99786 116417 182941 199572 232834 282727 349251 365882 465668 548823 565454 698502 731764 848181 1097646 1130908 1280587 1397004 1696362 1979089 2195292 2561174 3109997 3392724 3841761 3958178 5122348 5937267 6219994 7683522 7916356 9329991 11874534 12439988 15367044 18659982 21769979 23749068 37319964 43539958 65309937 87079916 130619874 261239748