Search a number
-
+
4827487464 = 2333971132039
BaseRepresentation
bin1000111111011110…
…11001110011101000
3110110102202202212000
410133233121303220
534341314044324
62115005451000
7230425652322
oct43757316350
913412682760
104827487464
112057a99868
12b28870a60
135bc1a9a77
1433b1d6612
151d3c2b9c9
hex11fbd9ce8

4827487464 has 128 divisors (see below), whose sum is σ = 13674528000. Its totient is φ = 1577705472.

The previous prime is 4827487463. The next prime is 4827487471. The reversal of 4827487464 is 4647847284.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4827487464.

It is not an unprimeable number, because it can be changed into a prime (4827487463) 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, 2366557 + ... + 2368595.

It is an arithmetic number, because the mean of its divisors is an integer number (106832250).

Almost surely, 24827487464 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 4827487464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837264000).

4827487464 is an abundant number, since it is smaller than the sum of its proper divisors (8847040536).

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

4827487464 is a wasteful number, since it uses less digits than its factorization.

4827487464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2254 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The square root of 4827487464 is about 69480.1227978189. The cubic root of 4827487464 is about 1690.0791793254.

The spelling of 4827487464 in words is "four billion, eight hundred twenty-seven million, four hundred eighty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 113 194 216 226 291 339 388 452 582 678 776 873 904 1017 1164 1356 1746 2034 2039 2328 2619 2712 3051 3492 4068 4078 5238 6102 6117 6984 8136 8156 10476 10961 12204 12234 16312 18351 20952 21922 24408 24468 32883 36702 43844 48936 55053 65766 73404 87688 98649 110106 131532 146808 197298 197783 220212 230407 263064 295947 394596 395566 440424 460814 591894 593349 691221 789192 791132 921628 1183788 1186698 1382442 1582264 1780047 1843256 2073663 2367576 2373396 2764884 3560094 4147326 4746792 5340141 5529768 6220989 7120188 8294652 10680282 12441978 14240376 16589304 21360564 22349479 24883956 42721128 44698958 49767912 67048437 89397916 134096874 178795832 201145311 268193748 402290622 536387496 603435933 804581244 1206871866 1609162488 2413743732 4827487464