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264263552 = 27719343
BaseRepresentation
bin11111100000001…
…01011110000000
3200102020222102222
433300011132000
51020122413202
642120030212
76356126450
oct1760053600
9612228388
10264263552
11126196133
1274602368
1342997a87
142714dd60
15183004a2
hexfc05780

264263552 has 128 divisors (see below), whose sum is σ = 649862400. Its totient is φ = 104799744.

The previous prime is 264263543. The next prime is 264263567. The reversal of 264263552 is 255362462.

It is a tau number, because it is divible by the number of its divisors (128).

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, 6145643 + ... + 6145685.

It is an arithmetic number, because the mean of its divisors is an integer number (5077050).

Almost surely, 2264263552 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 264263552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324931200).

264263552 is an abundant number, since it is smaller than the sum of its proper divisors (385598848).

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

264263552 is an frugal number, since it uses more digits than its factorization.

264263552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 264263552 is about 16256.1850383170. The cubic root of 264263552 is about 641.7202677511.

The spelling of 264263552 in words is "two hundred sixty-four million, two hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 43 56 64 76 86 112 128 133 152 172 224 266 301 304 344 361 448 532 602 608 688 722 817 896 1064 1204 1216 1376 1444 1634 2128 2408 2432 2527 2752 2888 3268 4256 4816 5054 5504 5719 5776 6536 6859 8512 9632 10108 11438 11552 13072 13718 15523 17024 19264 20216 22876 23104 26144 27436 31046 38528 40432 45752 46208 48013 52288 54872 62092 80864 91504 96026 104576 108661 109744 124184 161728 183008 192052 217322 219488 248368 294937 323456 366016 384104 434644 438976 496736 589874 732032 768208 869288 877952 993472 1179748 1536416 1738576 1986944 2064559 2359496 3072832 3477152 4129118 4718992 6145664 6954304 8258236 9437984 13908608 16516472 18875968 33032944 37751936 66065888 132131776 264263552