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44314272 = 25321511019
BaseRepresentation
bin1010100100001…
…0111010100000
310002101101202100
42221002322200
542321024042
64221450400
71045444062
oct251027240
9102341670
1044314272
1123017a72
1212a10a00
139247482
145c57732
153d5524c
hex2a42ea0

44314272 has 72 divisors (see below), whose sum is σ = 126977760. Its totient is φ = 14659200.

The previous prime is 44314267. The next prime is 44314273. The reversal of 44314272 is 27241344.

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

It is not an unprimeable number, because it can be changed into a prime (44314273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42979 + ... + 43997.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 244314272 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 44314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

44314272 is an abundant number, since it is smaller than the sum of its proper divisors (82663488).

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

44314272 is a wasteful number, since it uses less digits than its factorization.

44314272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 44314272 is about 6656.8965742304. The cubic root of 44314272 is about 353.8733627277.

The spelling of 44314272 in words is "forty-four million, three hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1019 1208 1359 1812 2038 2416 2718 3057 3624 4076 4832 5436 6114 7248 8152 9171 10872 12228 14496 16304 18342 21744 24456 32608 36684 43488 48912 73368 97824 146736 153869 293472 307738 461607 615476 923214 1230952 1384821 1846428 2461904 2769642 3692856 4923808 5539284 7385712 11078568 14771424 22157136 44314272