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44106048 = 2632710939
BaseRepresentation
bin1010100001000…
…0000101000000
310001222211010100
42220100011000
542242343143
64213202400
71043616030
oct250200500
9101884110
1044106048
1122995588
1212930400
1391a376c
145c018c0
153d136d3
hex2a10140

44106048 has 84 divisors (see below), whose sum is σ = 144495520. Its totient is φ = 12600576.

The previous prime is 44106031. The next prime is 44106059. The reversal of 44106048 is 84060144.

44106048 is a `hidden beast` number, since 44 + 10 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1438 + ... + 9501.

Almost surely, 244106048 is an apocalyptic number.

44106048 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 44106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72247760).

44106048 is an abundant number, since it is smaller than the sum of its proper divisors (100389472).

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

44106048 is a wasteful number, since it uses less digits than its factorization.

44106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10964 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 44106048 is about 6641.2384387251. The cubic root of 44106048 is about 353.3182320194.

The spelling of 44106048 in words is "forty-four million, one hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 10939 21878 32817 43756 65634 76573 87512 98451 131268 153146 175024 196902 229719 262536 306292 350048 393804 459438 525072 612584 689157 700096 787608 918876 1050144 1225168 1378314 1575216 1837752 2100288 2450336 2756628 3150432 3675504 4900672 5513256 6300864 7351008 11026512 14702016 22053024 44106048