Search a number
-
+
44412000 = 253533701
BaseRepresentation
bin1010100101101…
…0110001100000
310002120100210220
42221122301200
542332141000
64223523040
71046332023
oct251326140
9102510726
1044412000
1123084436
1212a59480
13927cab9
145c811ba
153d741a0
hex2a5ac60

44412000 has 96 divisors (see below), whose sum is σ = 145533024. Its totient is φ = 11840000.

The previous prime is 44411977. The next prime is 44412001. The reversal of 44412000 is 21444.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44412001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10150 + ... + 13850.

It is an arithmetic number, because the mean of its divisors is an integer number (1515969).

Almost surely, 244412000 is an apocalyptic number.

44412000 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 44412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72766512).

44412000 is an abundant number, since it is smaller than the sum of its proper divisors (101121024).

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

44412000 is a wasteful number, since it uses less digits than its factorization.

44412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3711 counting only the distinct ones).

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

The square root of 44412000 is about 6664.2328890878. The cubic root of 44412000 is about 354.1333086614.

Adding to 44412000 its reverse (21444), we get a palindrome (44433444).

It can be divided in two parts, 4441 and 2000, that added together give a triangular number (6441 = T113).

The spelling of 44412000 in words is "forty-four million, four hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 3701 4000 6000 7402 11103 12000 14804 18505 22206 29608 37010 44412 55515 59216 74020 88824 92525 111030 118432 148040 177648 185050 222060 277575 296080 355296 370100 444120 462625 555150 592160 740200 888240 925250 1110300 1387875 1480400 1776480 1850500 2220600 2775750 2960800 3701000 4441200 5551500 7402000 8882400 11103000 14804000 22206000 44412000