Search a number
-
+
44100420 = 223571341197
BaseRepresentation
bin1010100000111…
…0101101000100
310001222112101220
42220032231010
542242203140
64213120340
71043563440
oct250165504
9101875356
1044100420
1122991331
12129290b0
1391a1030
145bdd820
153d11bd0
hex2a0eb44

44100420 has 192 divisors, whose sum is σ = 156473856. Its totient is φ = 9031680.

The previous prime is 44100403. The next prime is 44100439. The reversal of 44100420 is 2400144.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 44100420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223762 + ... + 223958.

It is an arithmetic number, because the mean of its divisors is an integer number (814968).

Almost surely, 244100420 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 44100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78236928).

44100420 is an abundant number, since it is smaller than the sum of its proper divisors (112373436).

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

44100420 is a wasteful number, since it uses less digits than its factorization.

44100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 44100420 is about 6640.8147090549. The cubic root of 44100420 is about 353.3032033957.

Adding to 44100420 its reverse (2400144), we get a palindrome (46500564).

The spelling of 44100420 in words is "forty-four million, one hundred thousand, four hundred twenty".