Search a number
-
+
44412720 = 24351116823
BaseRepresentation
bin1010100101101…
…0111100110000
310002120101210120
42221122330300
542332201340
64223530240
71046334102
oct251327460
9102511716
1044412720
1123084a30
1212a59980
139280221
145c81572
153d744d0
hex2a5af30

44412720 has 80 divisors (see below), whose sum is σ = 150204672. Its totient is φ = 10766080.

The previous prime is 44412713. The next prime is 44412727. The reversal of 44412720 is 2721444.

44412720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44412713) and next prime (44412727).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (44412727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5772 + ... + 11051.

Almost surely, 244412720 is an apocalyptic number.

44412720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44412720 is an abundant number, since it is smaller than the sum of its proper divisors (105791952).

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

44412720 is a wasteful number, since it uses less digits than its factorization.

44412720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16850 (or 16844 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 44412720 is about 6664.2869085897. The cubic root of 44412720 is about 354.1352223679.

The spelling of 44412720 in words is "forty-four million, four hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 16823 33646 50469 67292 84115 100938 134584 168230 185053 201876 252345 269168 336460 370106 403752 504690 555159 672920 740212 807504 925265 1009380 1110318 1345840 1480424 1850530 2018760 2220636 2775795 2960848 3701060 4037520 4441272 5551590 7402120 8882544 11103180 14804240 22206360 44412720