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44203968 = 26348527
BaseRepresentation
bin1010100010011…
…1111111000000
310002011210110000
42220213333000
542304011333
64215240000
71044504354
oct250477700
9102153400
1044203968
1122a52106
1212979000
1392091c3
145c29464
153d32713
hex2a27fc0

44203968 has 70 divisors (see below), whose sum is σ = 131049776. Its totient is φ = 14732928.

The previous prime is 44203949. The next prime is 44203997. The reversal of 44203968 is 86930244.

It is a happy number.

44203968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 921 + ... + 9447.

Almost surely, 244203968 is an apocalyptic number.

44203968 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 44203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65524888).

44203968 is an abundant number, since it is smaller than the sum of its proper divisors (86845808).

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

44203968 is an equidigital number, since it uses as much as digits as its factorization.

44203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8551 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 44203968 is about 6648.6064705320. The cubic root of 44203968 is about 353.5795064664.

The spelling of 44203968 in words is "forty-four million, two hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8527 17054 25581 34108 51162 68216 76743 102324 136432 153486 204648 230229 272864 306972 409296 460458 545728 613944 690687 818592 920916 1227888 1381374 1637184 1841832 2455776 2762748 3683664 4911552 5525496 7367328 11050992 14734656 22101984 44203968