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494788608 = 213332237
BaseRepresentation
bin11101011111011…
…110000000000000
31021111000212101000
4131133132000000
52003131213413
6121033012000
715155430246
oct3537360000
91244025330
10494788608
11234328006
12119854000
137b67c032
14499da796
152d689073
hex1d7de000

494788608 has 112 divisors (see below), whose sum is σ = 1466606160. Its totient is φ = 164855808.

The previous prime is 494788601. The next prime is 494788631. The reversal of 494788608 is 806887494.

494788608 is a `hidden beast` number, since 494 + 78 + 86 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494788601) 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 7 ways as a sum of consecutive naturals, for example, 220066 + ... + 222302.

Almost surely, 2494788608 is an apocalyptic number.

494788608 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 494788608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733303080).

494788608 is an abundant number, since it is smaller than the sum of its proper divisors (971817552).

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

494788608 is an equidigital number, since it uses as much as digits as its factorization.

494788608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 494788608 is about 22243.8442720677. The cubic root of 494788608 is about 790.9333667179.

The spelling of 494788608 in words is "four hundred ninety-four million, seven hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2237 2304 3072 3456 4096 4474 4608 6144 6711 6912 8192 8948 9216 12288 13422 13824 17896 18432 20133 24576 26844 27648 35792 36864 40266 53688 55296 60399 71584 73728 80532 107376 110592 120798 143168 161064 214752 221184 241596 286336 322128 429504 483192 572672 644256 859008 966384 1145344 1288512 1718016 1932768 2290688 2577024 3436032 3865536 4581376 5154048 6872064 7731072 9162752 10308096 13744128 15462144 18325504 20616192 27488256 30924288 41232384 54976512 61848576 82464768 123697152 164929536 247394304 494788608