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44947968 = 293132251
BaseRepresentation
bin1010101101110…
…1101000000000
310010120121000120
42223131220000
543001313333
64243220240
71054023432
oct253355000
9103517016
1044947968
112341008a
1213077680
139409a40
145d80652
153e2cdb3
hex2adda00

44947968 has 80 divisors (see below), whose sum is σ = 129012576. Its totient is φ = 13824000.

The previous prime is 44947921. The next prime is 44947979. The reversal of 44947968 is 86974944.

It is a self number, because there is not a number n which added to its sum of digits gives 44947968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18843 + ... + 21093.

Almost surely, 244947968 is an apocalyptic number.

44947968 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 44947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64506288).

44947968 is an abundant number, since it is smaller than the sum of its proper divisors (84064608).

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

44947968 is a wasteful number, since it uses less digits than its factorization.

44947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2269 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 44947968 is about 6704.3245744818. The cubic root of 44947968 is about 355.5521870051.

The spelling of 44947968 in words is "forty-four million, nine hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2251 2496 3328 4502 4992 6656 6753 9004 9984 13506 18008 19968 27012 29263 36016 54024 58526 72032 87789 108048 117052 144064 175578 216096 234104 288128 351156 432192 468208 576256 702312 864384 936416 1152512 1404624 1728768 1872832 2809248 3457536 3745664 5618496 7491328 11236992 14982656 22473984 44947968