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44427648 = 273127911
BaseRepresentation
bin1010100101111…
…0100110000000
310002121011021110
42221132212000
542333141043
64224123320
71046425446
oct251364600
9102534243
1044427648
1123095171
1212a66540
139286c65
145c86b96
153d78b33
hex2a5e980

44427648 has 64 divisors (see below), whose sum is σ = 119070720. Its totient is φ = 14676480.

The previous prime is 44427629. The next prime is 44427661. The reversal of 44427648 is 84672444.

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 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, 48313 + ... + 49223.

It is an arithmetic number, because the mean of its divisors is an integer number (1860480).

Almost surely, 244427648 is an apocalyptic number.

44427648 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 44427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59535360).

44427648 is an abundant number, since it is smaller than the sum of its proper divisors (74643072).

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

44427648 is a wasteful number, since it uses less digits than its factorization.

44427648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 44427648 is about 6665.4068142912. The cubic root of 44427648 is about 354.1748952244.

It can be divided in two parts, 4442 and 7648, that added together give a triangular number (12090 = T155).

The spelling of 44427648 in words is "forty-four million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 911 1016 1524 1822 2032 2733 3048 3644 4064 5466 6096 7288 8128 10932 12192 14576 16256 21864 24384 29152 43728 48768 58304 87456 115697 116608 174912 231394 347091 349824 462788 694182 925576 1388364 1851152 2776728 3702304 5553456 7404608 11106912 14809216 22213824 44427648