Search a number
-
+
4434874920 = 2332579718143
BaseRepresentation
bin1000010000101011…
…01101001000101000
3102110001222222200200
410020111231020220
533040311444140
62012022432200
7214620546330
oct41025551050
912401888620
104434874920
11197640a193
12a39292660
13558a53b58
14300dd60c0
151ae527030
hex10856d228

4434874920 has 192 divisors, whose sum is σ = 16643128320. Its totient is φ = 1003180032.

The previous prime is 4434874891. The next prime is 4434874931. The reversal of 4434874920 is 294784344.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235369 + ... + 253511.

It is an arithmetic number, because the mean of its divisors is an integer number (86682960).

Almost surely, 24434874920 is an apocalyptic number.

4434874920 is a gapful number since it is divisible by the number (40) 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 4434874920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321564160).

4434874920 is an abundant number, since it is smaller than the sum of its proper divisors (12208253400).

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

4434874920 is a wasteful number, since it uses less digits than its factorization.

4434874920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18264 (or 18257 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4434874920 is about 66594.8565581457. The cubic root of 4434874920 is about 1642.9605111159.

The spelling of 4434874920 in words is "four billion, four hundred thirty-four million, eight hundred seventy-four thousand, nine hundred twenty".