Search a number
-
+
264997746 = 2321336701
BaseRepresentation
bin11111100101110…
…00101101110010
3200110122021120100
433302320231302
51020314411441
642143453230
76365305116
oct1762705562
9613567510
10264997746
11126647802
12748b7216
1342b94000
14272a1746
15183e7cb6
hexfcb8b72

264997746 has 48 divisors (see below), whose sum is σ = 622079640. Its totient is φ = 81525600.

The previous prime is 264997729. The next prime is 264997783. The reversal of 264997746 is 647799462.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5948721 + 259049025 = 2439^2 + 16095^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 264997692 and 264997701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36196 + ... + 42896.

Almost surely, 2264997746 is an apocalyptic number.

264997746 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 264997746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311039820).

264997746 is an abundant number, since it is smaller than the sum of its proper divisors (357081894).

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

264997746 is a wasteful number, since it uses less digits than its factorization.

264997746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6719 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 264997746 is about 16278.7513648928. The cubic root of 264997746 is about 642.3140077443.

The spelling of 264997746 in words is "two hundred sixty-four million, nine hundred ninety-seven thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 2197 3042 4394 6591 6701 13182 13402 19773 20103 39546 40206 60309 87113 120618 174226 261339 522678 784017 1132469 1568034 2264938 3397407 6794814 10192221 14722097 20384442 29444194 44166291 88332582 132498873 264997746