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44000253 = 37113159
BaseRepresentation
bin1010011111011…
…0001111111101
310001210110000000
42213312033331
542231002003
64211024513
71042665423
oct247661775
9101713000
1044000253
1122923050
121289b139
13916756b
145bb5113
153ce21a3
hex29f63fd

44000253 has 64 divisors (see below), whose sum is σ = 75571200. Its totient is φ = 25369200.

The previous prime is 44000249. The next prime is 44000269. The reversal of 44000253 is 35200044.

It is a happy number.

It is not a de Polignac number, because 44000253 - 22 = 44000249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44000213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745738 + ... + 745796.

It is an arithmetic number, because the mean of its divisors is an integer number (1180800).

Almost surely, 244000253 is an apocalyptic number.

It is an amenable number.

44000253 is a deficient number, since it is larger than the sum of its proper divisors (31570947).

44000253 is an equidigital number, since it uses as much as digits as its factorization.

44000253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 44000253 is about 6633.2686512759. The cubic root of 44000253 is about 353.0355101814.

Adding to 44000253 its reverse (35200044), we get a palindrome (79200297).

It can be divided in two parts, 44000 and 253, that added together give a triangular number (44253 = T297).

The spelling of 44000253 in words is "forty-four million, two hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 9 11 27 31 33 59 81 93 99 177 243 279 297 341 531 649 729 837 891 1023 1593 1829 1947 2187 2511 2673 3069 4779 5487 5841 7533 8019 9207 14337 16461 17523 20119 22599 24057 27621 43011 49383 52569 60357 67797 82863 129033 148149 157707 181071 248589 444447 473121 543213 745767 1333341 1419363 1629639 4000023 4888917 14666751 44000253