Search a number
-
+
264390392 = 237171671663
BaseRepresentation
bin11111100001001…
…00011011111000
3200102111102102202
433300210123320
51020140443032
642122445332
76360165320
oct1760443370
9612442382
10264390392
11126272462
1274663848
1342a10726
1427184280
1518327d62
hexfc246f8

264390392 has 64 divisors (see below), whose sum is σ = 603832320. Its totient is φ = 105942528.

The previous prime is 264390367. The next prime is 264390397. The reversal of 264390392 is 293093462.

264390392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264390397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158153 + ... + 159815.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2264390392 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 264390392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301916160).

264390392 is an abundant number, since it is smaller than the sum of its proper divisors (339441928).

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

264390392 is a wasteful number, since it uses less digits than its factorization.

264390392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 264390392 is about 16260.0858546319. The cubic root of 264390392 is about 641.8229213066.

The spelling of 264390392 in words is "two hundred sixty-four million, three hundred ninety thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 167 238 334 476 668 952 1169 1336 1663 2338 2839 3326 4676 5678 6652 9352 11356 11641 13304 19873 22712 23282 28271 39746 46564 56542 79492 93128 113084 158984 197897 226168 277721 395794 555442 791588 1110884 1583176 1944047 2221768 3888094 4721257 7776188 9442514 15552376 18885028 33048799 37770056 66097598 132195196 264390392