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264136432 = 2474197593
BaseRepresentation
bin11111011111001…
…10011011110000
3200102000112001211
433233212123300
51020104331212
642113205504
76355060030
oct1757463360
9612015054
10264136432
1112610967a
1274560894
1342951c61
14271198c0
15182c79a7
hexfbe66f0

264136432 has 80 divisors (see below), whose sum is σ = 606336192. Its totient is φ = 109117440.

The previous prime is 264136417. The next prime is 264136441. The reversal of 264136432 is 234631462.

It is a junction number, because it is equal to n+sod(n) for n = 264136394 and 264136403.

It is a congruent number.

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, 445128 + ... + 445720.

Almost surely, 2264136432 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 264136432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303168096).

264136432 is an abundant number, since it is smaller than the sum of its proper divisors (342199760).

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

264136432 is a wasteful number, since it uses less digits than its factorization.

264136432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 264136432 is about 16252.2746715652. The cubic root of 264136432 is about 641.6173546258.

Adding to 264136432 its reverse (234631462), we get a palindrome (498767894).

The spelling of 264136432 in words is "two hundred sixty-four million, one hundred thirty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 97 112 164 194 287 328 388 574 593 656 679 776 1148 1186 1358 1552 2296 2372 2716 3977 4151 4592 4744 5432 7954 8302 9488 10864 15908 16604 24313 27839 31816 33208 48626 55678 57521 63632 66416 97252 111356 115042 170191 194504 222712 230084 340382 389008 402647 445424 460168 680764 805294 920336 1361528 1610588 2358361 2723056 3221176 4716722 6442352 9433444 16508527 18866888 33017054 37733776 66034108 132068216 264136432