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264396972 = 223719915817
BaseRepresentation
bin11111100001001…
…10000010101100
3200102111202110110
433300212002230
51020141200342
642122540020
76360223440
oct1760460254
9612452413
10264396972
111262773a4
1274667610
1342a13718
1427186820
1518329c9c
hexfc260ac

264396972 has 48 divisors (see below), whose sum is σ = 708646400. Its totient is φ = 75157632.

The previous prime is 264396959. The next prime is 264396991. The reversal of 264396972 is 279693462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8808 + ... + 24624.

Almost surely, 2264396972 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 264396972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354323200).

264396972 is an abundant number, since it is smaller than the sum of its proper divisors (444249428).

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

264396972 is a wasteful number, since it uses less digits than its factorization.

264396972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16030 (or 16028 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 264396972 is about 16260.2881893280. The cubic root of 264396972 is about 641.8282457056.

It can be divided in two parts, 26439 and 6972, that added together give a triangular number (33411 = T258).

The spelling of 264396972 in words is "two hundred sixty-four million, three hundred ninety-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2388 2786 4179 5572 8358 15817 16716 31634 47451 63268 94902 110719 189804 221438 332157 442876 664314 1328628 3147583 6295166 9442749 12590332 18885498 22033081 37770996 44066162 66099243 88132324 132198486 264396972