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492416064 = 2633740709
BaseRepresentation
bin11101010110011…
…010110001000000
31021022120022212000
4131112122301000
52002024303224
6120510104000
715126316230
oct3526326100
91238508760
10492416064
11232a57528
12118aab000
137b02b16a
144957dcc0
152d36b0c9
hex1d59ac40

492416064 has 112 divisors (see below), whose sum is σ = 1654454400. Its totient is φ = 140686848.

The previous prime is 492416063. The next prime is 492416069. The reversal of 492416064 is 460614294.

492416064 is a `hidden beast` number, since 4 + 9 + 2 + 41 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (492416063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8259 + ... + 32450.

Almost surely, 2492416064 is an apocalyptic number.

It is an amenable number.

492416064 is an abundant number, since it is smaller than the sum of its proper divisors (1162038336).

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

492416064 is a wasteful number, since it uses less digits than its factorization.

492416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40737 (or 40721 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 492416064 is about 22190.4498377117. The cubic root of 492416064 is about 789.6671481406.

The spelling of 492416064 in words is "four hundred ninety-two million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 40709 81418 122127 162836 244254 284963 325672 366381 488508 569926 651344 732762 854889 977016 1099143 1139852 1302688 1465524 1709778 1954032 2198286 2279704 2564667 2605376 2931048 3419556 3908064 4396572 4559408 5129334 5862096 6839112 7694001 7816128 8793144 9118816 10258668 11724192 13678224 15388002 17586288 18237632 20517336 23448384 27356448 30776004 35172576 41034672 54712896 61552008 70345152 82069344 123104016 164138688 246208032 492416064