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64404144 = 24327181353
BaseRepresentation
bin1111010110101…
…1101010110000
311111012001212200
43311223222300
5112441413034
610220223200
71411266120
oct365535260
9144161780
1064404144
1133399872
121969ab00
131045c77c
1487a6c80
1559c2a99
hex3d6bab0

64404144 has 120 divisors (see below), whose sum is σ = 207715872. Its totient is φ = 18247680.

The previous prime is 64404139. The next prime is 64404173. The reversal of 64404144 is 44140446.

64404144 is a `hidden beast` number, since 644 + 0 + 4 + 14 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182272 + ... + 182624.

Almost surely, 264404144 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 64404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103857936).

64404144 is an abundant number, since it is smaller than the sum of its proper divisors (143311728).

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

64404144 is a wasteful number, since it uses less digits than its factorization.

64404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 64404144 is about 8025.2192493414. The cubic root of 64404144 is about 400.8402005884.

The spelling of 64404144 in words is "sixty-four million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 181 252 336 353 362 504 543 706 724 1008 1059 1086 1267 1412 1448 1629 2118 2172 2471 2534 2824 2896 3177 3258 3801 4236 4344 4942 5068 5648 6354 6516 7413 7602 8472 8688 9884 10136 11403 12708 13032 14826 15204 16944 19768 20272 22239 22806 25416 26064 29652 30408 39536 44478 45612 50832 59304 60816 63893 88956 91224 118608 127786 177912 182448 191679 255572 355824 383358 447251 511144 575037 766716 894502 1022288 1150074 1341753 1533432 1789004 2300148 2683506 3066864 3578008 4025259 4600296 5367012 7156016 8050518 9200592 10734024 16101036 21468048 32202072 64404144