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44481312 = 25341312
BaseRepresentation
bin1010100110101…
…1101100100000
310002200212220000
42221223230200
542341400222
64225220000
71050041061
oct251535440
9102625800
1044481312
1123121517
1212a91600
1392a5505
145c9c568
153d899ac
hex2a6bb20

44481312 has 90 divisors (see below), whose sum is σ = 131824539. Its totient is φ = 14713920.

The previous prime is 44481259. The next prime is 44481313. The reversal of 44481312 is 21318444.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 22240656 + 22240656 = 4716^2 + 4716^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4716.

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 not an unprimeable number, because it can be changed into a prime (44481313) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 339487 + ... + 339617.

Almost surely, 244481312 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 44481312

44481312 is an abundant number, since it is smaller than the sum of its proper divisors (87343227).

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

44481312 is an equidigital number, since it uses as much as digits as its factorization.

44481312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 136 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 44481312 is about 6669.4311601515. The cubic root of 44481312 is about 354.3174400507.

Adding to 44481312 its reverse (21318444), we get a palindrome (65799756).

The spelling of 44481312 in words is "forty-four million, four hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 131 144 162 216 262 288 324 393 432 524 648 786 864 1048 1179 1296 1572 2096 2358 2592 3144 3537 4192 4716 6288 7074 9432 10611 12576 14148 17161 18864 21222 28296 34322 37728 42444 51483 56592 68644 84888 102966 113184 137288 154449 169776 205932 274576 308898 339552 411864 463347 549152 617796 823728 926694 1235592 1390041 1647456 1853388 2471184 2780082 3706776 4942368 5560164 7413552 11120328 14827104 22240656 44481312