Search a number
-
+
264207048 = 23373197523
BaseRepresentation
bin11111011111101…
…11101011001000
3200102011002221020
433233313223020
51020114111143
642114512440
76355502640
oct1757675310
9612132836
10264207048
11126157736
1274595720
1342978141
1427137520
15182dd883
hexfbf7ac8

264207048 has 128 divisors (see below), whose sum is σ = 788766720. Its totient is φ = 72161280.

The previous prime is 264207019. The next prime is 264207061. The reversal of 264207048 is 840702462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504915 + ... + 505437.

It is an arithmetic number, because the mean of its divisors is an integer number (6162240).

Almost surely, 2264207048 is an apocalyptic number.

264207048 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 264207048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394383360).

264207048 is an abundant number, since it is smaller than the sum of its proper divisors (524559672).

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

264207048 is a wasteful number, since it uses less digits than its factorization.

264207048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 264207048 is about 16254.4470222767. The cubic root of 264207048 is about 641.6745276224.

The spelling of 264207048 in words is "two hundred sixty-four million, two hundred seven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 97 124 168 186 194 217 248 291 372 388 434 523 582 651 679 744 776 868 1046 1164 1302 1358 1569 1736 2037 2092 2328 2604 2716 3007 3138 3661 4074 4184 5208 5432 6014 6276 7322 8148 9021 10983 12028 12552 14644 16213 16296 18042 21049 21966 24056 29288 32426 36084 42098 43932 48639 50731 63147 64852 72168 84196 87864 97278 101462 113491 126294 129704 152193 168392 194556 202924 226982 252588 304386 340473 355117 389112 405848 453964 505176 608772 680946 710234 907928 1065351 1217544 1361892 1420468 1572661 2130702 2723784 2840936 3145322 4261404 4717983 6290644 8522808 9435966 11008627 12581288 18871932 22017254 33025881 37743864 44034508 66051762 88069016 132103524 264207048