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264364452 = 2233111931153
BaseRepresentation
bin11111100000111…
…10000110100100
3200102110002212000
433300132012210
51020134130302
642122125300
76360026562
oct1760360644
9612402760
10264364452
11126254a20
1274650830
1342a01991
1427178a32
151832031c
hexfc1e1a4

264364452 has 96 divisors (see below), whose sum is σ = 752223360. Its totient is φ = 79626240.

The previous prime is 264364447. The next prime is 264364459. The reversal of 264364452 is 254463462.

264364452 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 644 + 5 + 2 = 666.

264364452 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 (36).

It is not an unprimeable number, because it can be changed into a prime (264364459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228708 + ... + 229860.

It is an arithmetic number, because the mean of its divisors is an integer number (7835660).

Almost surely, 2264364452 is an apocalyptic number.

264364452 is a gapful number since it is divisible by the number (22) 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 264364452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376111680).

264364452 is an abundant number, since it is smaller than the sum of its proper divisors (487858908).

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

264364452 is a wasteful number, since it uses less digits than its factorization.

264364452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 264364452 is about 16259.2881763010. The cubic root of 264364452 is about 641.8019303382.

The spelling of 264364452 in words is "two hundred sixty-four million, three hundred sixty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 193 198 297 386 396 579 594 772 1153 1158 1188 1737 2123 2306 2316 3459 3474 4246 4612 5211 6369 6918 6948 8492 10377 10422 12683 12738 13836 19107 20754 20844 25366 25476 31131 38049 38214 41508 50732 57321 62262 76098 76428 114147 114642 124524 152196 222529 228294 229284 342441 445058 456588 667587 684882 890116 1335174 1369764 2002761 2447819 2670348 4005522 4895638 6008283 7343457 8011044 9791276 12016566 14686914 22030371 24033132 29373828 44060742 66091113 88121484 132182226 264364452