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264953216 = 2711217107
BaseRepresentation
bin11111100101011…
…01110110000000
3200110120000111002
433302231312000
51020312000331
642142511132
76365031233
oct1762556600
9613500432
10264953216
11126617300
12748954a8
1342b79968
142728d41a
15183d99cb
hexfcadd80

264953216 has 48 divisors (see below), whose sum is σ = 580217820. Its totient is φ = 120426240.

The previous prime is 264953209. The next prime is 264953239. The reversal of 264953216 is 612359462.

It is a self number, because there is not a number n which added to its sum of digits gives 264953216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6935 + ... + 24041.

Almost surely, 2264953216 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 264953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290108910).

264953216 is an abundant number, since it is smaller than the sum of its proper divisors (315264604).

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

264953216 is a wasteful number, since it uses less digits than its factorization.

264953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17143 (or 17120 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 264953216 is about 16277.3835735354. The cubic root of 264953216 is about 642.2780277590.

The spelling of 264953216 in words is "two hundred sixty-four million, nine hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 17107 34214 68428 136856 188177 273712 376354 547424 752708 1094848 1505416 2069947 2189696 3010832 4139894 6021664 8279788 12043328 16559576 24086656 33119152 66238304 132476608 264953216