Search a number
-
+
261441444 = 2231119104243
BaseRepresentation
bin11111001010101…
…00011110100100
3200012221121020110
433211110132210
51013412111234
641535333020
76323133645
oct1745243644
9605847213
10261441444
11124638910
1273681170
134221a3a4
1426a176cc
1517e441e9
hexf9547a4

261441444 has 48 divisors (see below), whose sum is σ = 700519680. Its totient is φ = 75054240.

The previous prime is 261441431. The next prime is 261441457. The reversal of 261441444 is 444144162.

261441444 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261441431) and next prime (261441457).

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

261441444 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49614 + ... + 54629.

It is an arithmetic number, because the mean of its divisors is an integer number (14594160).

Almost surely, 2261441444 is an apocalyptic number.

It is an amenable number.

261441444 is an abundant number, since it is smaller than the sum of its proper divisors (439078236).

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

261441444 is a wasteful number, since it uses less digits than its factorization.

261441444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104280 (or 104278 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 261441444 is about 16169.1509981198. The cubic root of 261441444 is about 639.4277469386.

The spelling of 261441444 in words is "two hundred sixty-one million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 104243 208486 312729 416972 625458 1146673 1250916 1980617 2293346 3440019 3961234 4586692 5941851 6880038 7922468 11883702 13760076 21786787 23767404 43573574 65360361 87147148 130720722 261441444