Search a number
-
+
2805024264 = 2337197112377
BaseRepresentation
bin1010011100110001…
…0100011000001000
321020111010222220120
42213030110120020
521221041234024
61142201223240
7126340212210
oct24714243010
97214128816
102805024264
11120a3aa279
12663491b20
13359199093
141c8771240
151163cd479
hexa7314608

2805024264 has 128 divisors (see below), whose sum is σ = 8555673600. Its totient is φ = 748500480.

The previous prime is 2805024263. The next prime is 2805024301. The reversal of 2805024264 is 4624205082.

It is a super-2 number, since 2×28050242642 = 15736322243257483392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2805024263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220444 + ... + 232820.

It is an arithmetic number, because the mean of its divisors is an integer number (66841200).

Almost surely, 22805024264 is an apocalyptic number.

2805024264 is a gapful number since it is divisible by the number (24) 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 2805024264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277836800).

2805024264 is an abundant number, since it is smaller than the sum of its proper divisors (5750649336).

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

2805024264 is a wasteful number, since it uses less digits than its factorization.

2805024264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2805024264 is about 52962.4797757809. The cubic root of 2805024264 is about 1410.3022781330.

The spelling of 2805024264 in words is "two billion, eight hundred five million, twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 71 76 84 114 133 142 152 168 213 228 266 284 399 426 456 497 532 568 798 852 994 1064 1349 1491 1596 1704 1988 2698 2982 3192 3976 4047 5396 5964 8094 9443 10792 11928 12377 16188 18886 24754 28329 32376 37131 37772 49508 56658 74262 75544 86639 99016 113316 148524 173278 226632 235163 259917 297048 346556 470326 519834 693112 705489 878767 940652 1039668 1410978 1646141 1757534 1881304 2079336 2636301 2821956 3292282 3515068 4938423 5272602 5643912 6151369 6584564 7030136 9876846 10545204 12302738 13169128 16696573 18454107 19753692 21090408 24605476 33393146 36908214 39507384 49210952 50089719 66786292 73816428 100179438 116876011 133572584 147632856 200358876 233752022 350628033 400717752 467504044 701256066 935008088 1402512132 2805024264