Search a number
-
+
4284464512 = 2779641661
BaseRepresentation
bin1111111101011111…
…1011110110000000
3102001120222100101211
43333113323312000
532233310331022
61545050535504
7211113230116
oct37727736600
912046870354
104284464512
1118a9517669
129b6a37594
13533840203
142c9041ab6
151a1215e77
hexff5fbd80

4284464512 has 64 divisors (see below), whose sum is σ = 8670081600. Its totient is φ = 2108620800.

The previous prime is 4284464497. The next prime is 4284464519. The reversal of 4284464512 is 2154644824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284464519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6481462 + ... + 6482122.

It is an arithmetic number, because the mean of its divisors is an integer number (135470025).

Almost surely, 24284464512 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 4284464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335040800).

4284464512 is an abundant number, since it is smaller than the sum of its proper divisors (4385617088).

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

4284464512 is an equidigital number, since it uses as much as digits as its factorization.

4284464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1383 counting only the distinct ones).

The product of its digits is 245760, while the sum is 40.

The square root of 4284464512 is about 65455.8210703983. The cubic root of 4284464512 is about 1624.1726138443.

The spelling of 4284464512 in words is "four billion, two hundred eighty-four million, four hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 641 661 1264 1282 1322 2528 2564 2644 5056 5128 5288 10112 10256 10576 20512 21152 41024 42304 50639 52219 82048 84608 101278 104438 202556 208876 405112 417752 423701 810224 835504 847402 1620448 1671008 1694804 3240896 3342016 3389608 6481792 6684032 6779216 13558432 27116864 33472379 54233728 66944758 133889516 267779032 535558064 1071116128 2142232256 4284464512