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44442320 = 24513151283
BaseRepresentation
bin1010100110001…
…0001011010000
310002121220101212
42221202023100
542334123240
64224315252
71046516306
oct251421320
9102556355
1044442320
11230a519a
1212a72b28
139290840
145c8c276
153d7d165
hex2a622d0

44442320 has 80 divisors (see below), whose sum is σ = 112409472. Its totient is φ = 16243200.

The previous prime is 44442269. The next prime is 44442329. The reversal of 44442320 is 2324444.

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

It is a super-3 number, since 3×444423203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156899 + ... + 157181.

Almost surely, 244442320 is an apocalyptic number.

44442320 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 44442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56204736).

44442320 is an abundant number, since it is smaller than the sum of its proper divisors (67967152).

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

44442320 is a wasteful number, since it uses less digits than its factorization.

44442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 44442320 is about 6666.5073314293. The cubic root of 44442320 is about 354.2138790732.

Adding to 44442320 its reverse (2324444), we get a palindrome (46766764).

The spelling of 44442320 in words is "forty-four million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 151 208 260 283 302 520 566 604 755 1040 1132 1208 1415 1510 1963 2264 2416 2830 3020 3679 3926 4528 5660 6040 7358 7852 9815 11320 12080 14716 15704 18395 19630 22640 29432 31408 36790 39260 42733 58864 73580 78520 85466 147160 157040 170932 213665 294320 341864 427330 555529 683728 854660 1111058 1709320 2222116 2777645 3418640 4444232 5555290 8888464 11110580 22221160 44442320