Search a number
-
+
4434680484 = 223213195979107
BaseRepresentation
bin1000010000101001…
…11101101010100100
3102110001122002222100
410020110331222210
533040234233414
62012014332100
7214616106423
oct41024755244
912401562870
104434680484
1119762970a3
12a391ba030
135589b64c0
14300d852ba
151ae4d9609
hex10853daa4

4434680484 has 288 divisors, whose sum is σ = 13208832000. Its totient is φ = 1242978048.

The previous prime is 4434680483. The next prime is 4434680507. The reversal of 4434680484 is 4840864344.

It is not an unprimeable number, because it can be changed into a prime (4434680483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41445559 + ... + 41445665.

It is an arithmetic number, because the mean of its divisors is an integer number (45864000).

Almost surely, 24434680484 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 4434680484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416000).

4434680484 is an abundant number, since it is smaller than the sum of its proper divisors (8774151516).

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

4434680484 is a wasteful number, since it uses less digits than its factorization.

4434680484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The square root of 4434680484 is about 66593.3966996729. The cubic root of 4434680484 is about 1642.9365002667.

The spelling of 4434680484 in words is "four billion, four hundred thirty-four million, six hundred eighty thousand, four hundred eighty-four".