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44424288 = 253529197
BaseRepresentation
bin1010100101110…
…1110001100000
310002120222200000
42221131301200
542333034123
64224100000
71046412606
oct251356140
9102528600
1044424288
1123092697
1212a64600
13928557c
145c85876
153d77b43
hex2a5dc60

44424288 has 144 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 14224896.

The previous prime is 44424277. The next prime is 44424301. The reversal of 44424288 is 88242444.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225406 + ... + 225602.

It is an arithmetic number, because the mean of its divisors is an integer number (945945).

Almost surely, 244424288 is an apocalyptic number.

44424288 is a gapful number since it is divisible by the number (48) 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 44424288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

44424288 is an abundant number, since it is smaller than the sum of its proper divisors (91791792).

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

44424288 is a wasteful number, since it uses less digits than its factorization.

44424288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 44424288 is about 6665.1547618941. The cubic root of 44424288 is about 354.1659664177.

The spelling of 44424288 in words is "forty-four million, four hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 197 216 232 243 261 288 324 348 394 432 464 486 522 591 648 696 783 788 864 928 972 1044 1182 1296 1392 1566 1576 1773 1944 2088 2349 2364 2592 2784 3132 3152 3546 3888 4176 4698 4728 5319 5713 6264 6304 7047 7092 7776 8352 9396 9456 10638 11426 12528 14094 14184 15957 17139 18792 18912 21276 22852 25056 28188 28368 31914 34278 37584 42552 45704 47871 51417 56376 56736 63828 68556 75168 85104 91408 95742 102834 112752 127656 137112 154251 170208 182816 191484 205668 225504 255312 274224 308502 382968 411336 462753 510624 548448 617004 765936 822672 925506 1234008 1388259 1531872 1645344 1851012 2468016 2776518 3702024 4936032 5553036 7404048 11106072 14808096 22212144 44424288