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264333048 = 23372534241
BaseRepresentation
bin11111100000101…
…10011011111000
3200102101111202220
433300112123320
51020132124143
642121324040
76356536200
oct1760263370
9612344686
10264333048
11126233371
1274636620
13429c05b5
142716b400
1518315d83
hexfc166f8

264333048 has 96 divisors (see below), whose sum is σ = 783412560. Its totient is φ = 74081280.

The previous prime is 264332989. The next prime is 264333049. The reversal of 264333048 is 840333462.

264333048 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 (264333049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60208 + ... + 64448.

Almost surely, 2264333048 is an apocalyptic number.

264333048 is a gapful number since it is divisible by the number (28) 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 264333048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391706280).

264333048 is an abundant number, since it is smaller than the sum of its proper divisors (519079512).

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

264333048 is a wasteful number, since it uses less digits than its factorization.

264333048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 264333048 is about 16258.3224226856. The cubic root of 264333048 is about 641.7765159960.

The spelling of 264333048 in words is "two hundred sixty-four million, three hundred thirty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 636 742 1113 1176 1272 1484 2226 2597 2968 4241 4452 5194 7791 8482 8904 10388 12723 15582 16964 20776 25446 29687 31164 33928 50892 59374 62328 89061 101784 118748 178122 207809 224773 237496 356244 415618 449546 623427 674319 712488 831236 899092 1246854 1348638 1573411 1662472 1798184 2493708 2697276 3146822 4720233 4987416 5394552 6293644 9440466 11013877 12587288 18880932 22027754 33041631 37761864 44055508 66083262 88111016 132166524 264333048