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494214912 = 2833127563
BaseRepresentation
bin11101011101010…
…001111100000000
31021102221201102000
4131131101330000
52003004334122
6121012424000
715150520542
oct3535217400
91242851360
10494214912
11233a75a84
12119618000
137b50ab79
14498cb692
152d5c40ac
hex1d751f00

494214912 has 144 divisors (see below), whose sum is σ = 1475604480. Its totient is φ = 163150848.

The previous prime is 494214911. The next prime is 494214913. The reversal of 494214912 is 219412494.

It is an interprime number because it is at equal distance from previous prime (494214911) and next prime (494214913).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494214911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877543 + ... + 878105.

Almost surely, 2494214912 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 494214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737802240).

494214912 is an abundant number, since it is smaller than the sum of its proper divisors (981389568).

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

494214912 is a wasteful number, since it uses less digits than its factorization.

494214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 695 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 494214912 is about 22230.9449191887. The cubic root of 494214912 is about 790.6275588183.

The spelling of 494214912 in words is "four hundred ninety-four million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 563 576 762 768 864 1016 1126 1143 1152 1524 1689 1728 2032 2252 2286 2304 3048 3378 3429 3456 4064 4504 4572 5067 6096 6756 6858 6912 8128 9008 9144 10134 12192 13512 13716 15201 16256 18016 18288 20268 24384 27024 27432 30402 32512 36032 36576 40536 48768 54048 54864 60804 71501 72064 73152 81072 97536 108096 109728 121608 143002 144128 146304 162144 214503 216192 219456 243216 286004 292608 324288 429006 432384 438912 486432 572008 643509 648576 858012 877824 972864 1144016 1287018 1297152 1716024 1930527 1945728 2288032 2574036 3432048 3861054 3891456 4576064 5148072 6864096 7722108 9152128 10296144 13728192 15444216 18304256 20592288 27456384 30888432 41184576 54912768 61776864 82369152 123553728 164738304 247107456 494214912