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44706064 = 2413372157
BaseRepresentation
bin1010101010001…
…0100100010000
310010010022012011
42222202210100
542421043224
64234112304
71051665244
oct252424420
9103108164
1044706064
1123265367
1212b7b694
1393538c0
145d1a424
153dd1394
hex2aa2910

44706064 has 60 divisors (see below), whose sum is σ = 96480804. Its totient is φ = 19948032.

The previous prime is 44706059. The next prime is 44706091. The reversal of 44706064 is 46060744.

It can be written as a sum of positive squares in 6 ways, for example, as 1040400 + 43665664 = 1020^2 + 6608^2 .

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, 284674 + ... + 284830.

Almost surely, 244706064 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 44706064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48240402).

44706064 is an abundant number, since it is smaller than the sum of its proper divisors (51774740).

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

44706064 is a wasteful number, since it uses less digits than its factorization.

44706064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 44706064 is about 6686.2593428613. The cubic root of 44706064 is about 354.9131944076.

The spelling of 44706064 in words is "forty-four million, seven hundred six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 157 208 296 314 481 592 628 962 1256 1369 1924 2041 2512 2738 3848 4082 5476 5809 7696 8164 10952 11618 16328 17797 21904 23236 32656 35594 46472 71188 75517 92944 142376 151034 214933 284752 302068 429866 604136 859732 1208272 1719464 2794129 3438928 5588258 11176516 22353032 44706064