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44294272 = 2711163193
BaseRepresentation
bin1010100011111…
…0000010000000
310002100101022121
42220332002000
542314404042
64221214024
71045331551
oct250760200
9102311277
1044294272
1123003a40
1212a01314
13923b339
145c50328
153d4e367
hex2a3e080

44294272 has 64 divisors (see below), whose sum is σ = 97356960. Its totient is φ = 19906560.

The previous prime is 44294233. The next prime is 44294279. The reversal of 44294272 is 27249244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (44294279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229408 + ... + 229600.

Almost surely, 244294272 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 44294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48678480).

44294272 is an abundant number, since it is smaller than the sum of its proper divisors (53062688).

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

44294272 is a wasteful number, since it uses less digits than its factorization.

44294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 44294272 is about 6655.3942032009. The cubic root of 44294272 is about 353.8201177877.

The spelling of 44294272 in words is "forty-four million, two hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 163 176 193 326 352 386 652 704 772 1304 1408 1544 1793 2123 2608 3088 3586 4246 5216 6176 7172 8492 10432 12352 14344 16984 20864 24704 28688 31459 33968 57376 62918 67936 114752 125836 135872 229504 251672 271744 346049 503344 692098 1006688 1384196 2013376 2768392 4026752 5536784 11073568 22147136 44294272