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44035968 = 273412797
BaseRepresentation
bin1010011111111…
…0111110000000
310001212020222210
42213332332000
542233122333
64211502120
71043204514
oct247767600
9101766883
1044035968
1122947969
12128b7940
13917a8b2
145bc4144
153ceca63
hex29fef80

44035968 has 64 divisors (see below), whose sum is σ = 119866320. Its totient is φ = 14315520.

The previous prime is 44035921. The next prime is 44035973. The reversal of 44035968 is 86953044.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14346 + ... + 17142.

Almost surely, 244035968 is an apocalyptic number.

44035968 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 44035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59933160).

44035968 is an abundant number, since it is smaller than the sum of its proper divisors (75830352).

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

44035968 is a wasteful number, since it uses less digits than its factorization.

44035968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 44035968 is about 6635.9602168789. The cubic root of 44035968 is about 353.1310039755.

The spelling of 44035968 in words is "forty-four million, thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 2797 3936 5248 5594 7872 8391 11188 15744 16782 22376 33564 44752 67128 89504 114677 134256 179008 229354 268512 344031 358016 458708 537024 688062 917416 1074048 1376124 1834832 2752248 3669664 5504496 7339328 11008992 14678656 22017984 44035968