Search a number
-
+
441601900 = 225221120929
BaseRepresentation
bin11010010100100…
…100111101101100
31010202221200220221
4122110210331230
51401022230100
6111453021124
713641361045
oct3224447554
91122850827
10441601900
11207300053
12103a847a4
13706492cc
14429138cc
1528b8001a
hex1a524f6c

441601900 has 36 divisors (see below), whose sum is σ = 962863720. Its totient is φ = 175795200.

The previous prime is 441601889. The next prime is 441601903. The reversal of 441601900 is 9106144.

It is a super-2 number, since 2×4416019002 = 390024476167220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (441601903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10636 + ... + 31564.

Almost surely, 2441601900 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 441601900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481431860).

441601900 is an abundant number, since it is smaller than the sum of its proper divisors (521261820).

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

441601900 is a wasteful number, since it uses less digits than its factorization.

441601900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21154 (or 21147 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 441601900 is about 21014.3260658057. The cubic root of 441601900 is about 761.5123969271.

The spelling of 441601900 in words is "four hundred forty-one million, six hundred one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 4220 5275 10550 20929 21100 41858 83716 104645 209290 418580 523225 1046450 2092900 4416019 8832038 17664076 22080095 44160190 88320380 110400475 220800950 441601900