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44423424 = 28336427
BaseRepresentation
bin1010100101110…
…1100100000000
310002120221111000
42221131210000
542333022144
64224052000
71046410233
oct251354400
9102527430
1044423424
1123091a81
1212a64000
139285066
145c8541a
153d77769
hex2a5d900

44423424 has 72 divisors (see below), whose sum is σ = 131388320. Its totient is φ = 14805504.

The previous prime is 44423417. The next prime is 44423437. The reversal of 44423424 is 42432444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3699 + ... + 10125.

Almost surely, 244423424 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 44423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65694160).

44423424 is an abundant number, since it is smaller than the sum of its proper divisors (86964896).

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

44423424 is an equidigital number, since it uses as much as digits as its factorization.

44423424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6432 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 44423424 is about 6665.0899468799. The cubic root of 44423424 is about 354.1636703660.

Adding to 44423424 its reverse (42432444), we get a palindrome (86855868).

The spelling of 44423424 in words is "forty-four million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6427 6912 12854 19281 25708 38562 51416 57843 77124 102832 115686 154248 173529 205664 231372 308496 347058 411328 462744 616992 694116 822656 925488 1233984 1388232 1645312 1850976 2467968 2776464 3701952 4935936 5552928 7403904 11105856 14807808 22211712 44423424