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44128872 = 233217311163
BaseRepresentation
bin1010100001010…
…1101001101000
310002000222102200
42220111221220
542244110442
64213500200
71044042414
oct250255150
9102028380
1044128872
1122a00747
1212941660
1391b0c78
145c09d44
153d1a34c
hex2a15a68

44128872 has 96 divisors (see below), whose sum is σ = 130740480. Its totient is φ = 13386240.

The previous prime is 44128867. The next prime is 44128907. The reversal of 44128872 is 27882144.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37363 + ... + 38525.

It is an arithmetic number, because the mean of its divisors is an integer number (1361880).

Almost surely, 244128872 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 44128872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65370240).

44128872 is an abundant number, since it is smaller than the sum of its proper divisors (86611608).

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

44128872 is a wasteful number, since it uses less digits than its factorization.

44128872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 44128872 is about 6642.9565706845. The cubic root of 44128872 is about 353.3791665555.

The spelling of 44128872 in words is "forty-four million, one hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1163 1224 1581 2108 2232 2326 3162 3489 4216 4652 4743 6324 6978 9304 9486 10467 12648 13956 18972 19771 20934 27912 36053 37944 39542 41868 59313 72106 79084 83736 108159 118626 144212 158168 177939 216318 237252 288424 324477 355878 432636 474504 612901 648954 711756 865272 1225802 1297908 1423512 1838703 2451604 2595816 3677406 4903208 5516109 7354812 11032218 14709624 22064436 44128872