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44985216 = 273313779
BaseRepresentation
bin1010101110011…
…0101110000000
310010122111010010
42223212232000
543004011331
64244104520
71054240143
oct253465600
9103574103
1044985216
1123436071
1213095140
139420993
145d9005a
153e38e46
hex2ae6b80

44985216 has 64 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 14507520.

The previous prime is 44985209. The next prime is 44985221. The reversal of 44985216 is 61258944.

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, 10015 + ... + 13793.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 244985216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

44985216 is an abundant number, since it is smaller than the sum of its proper divisors (78393984).

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

44985216 is a wasteful number, since it uses less digits than its factorization.

44985216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3815 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 44985216 is about 6707.1019076796. The cubic root of 44985216 is about 355.6503742488.

The spelling of 44985216 in words is "forty-four million, nine hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3779 3968 5952 7558 11337 11904 15116 22674 30232 45348 60464 90696 117149 120928 181392 234298 241856 351447 362784 468596 483712 702894 725568 937192 1405788 1451136 1874384 2811576 3748768 5623152 7497536 11246304 14995072 22492608 44985216