Search a number
-
+
44202144 = 253765777
BaseRepresentation
bin1010100010011…
…1100010100000
310002011200221110
42220213202200
542303432034
64215223320
71044466140
oct250474240
9102150843
1044202144
1122a507a8
1212977b40
13920841c
145c28920
153d31de9
hex2a278a0

44202144 has 48 divisors (see below), whose sum is σ = 132608448. Its totient is φ = 12628992.

The previous prime is 44202133. The next prime is 44202149. The reversal of 44202144 is 44120244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 44202144.

It is not an unprimeable number, because it can be changed into a prime (44202149) 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, 32217 + ... + 33560.

It is an arithmetic number, because the mean of its divisors is an integer number (2762676).

Almost surely, 244202144 is an apocalyptic number.

It is an amenable number.

44202144 is an abundant number, since it is smaller than the sum of its proper divisors (88406304).

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

44202144 is a wasteful number, since it uses less digits than its factorization.

44202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65797 (or 65789 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 44202144 is about 6648.4692975150. The cubic root of 44202144 is about 353.5746431180.

Adding to 44202144 its reverse (44120244), we get a palindrome (88322388).

The spelling of 44202144 in words is "forty-four million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 65777 131554 197331 263108 394662 460439 526216 789324 920878 1052432 1381317 1578648 1841756 2104864 2762634 3157296 3683512 5525268 6314592 7367024 11050536 14734048 22101072 44202144