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494548416 = 2634195021
BaseRepresentation
bin11101011110100…
…011010111000000
31021110120122220000
4131132203113000
52003101022131
6121023520000
715153410055
oct3536432700
91243518800
10494548416
112341835aa
12119759000
137b5c68cb
144997702c
152d63cce6
hex1d7a35c0

494548416 has 140 divisors (see below), whose sum is σ = 1543461480. Its totient is φ = 156142080.

The previous prime is 494548403. The next prime is 494548427. The reversal of 494548416 is 614845494.

494548416 is a `hidden beast` number, since 4 + 94 + 548 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95986 + ... + 101006.

Almost surely, 2494548416 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 494548416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771730740).

494548416 is an abundant number, since it is smaller than the sum of its proper divisors (1048913064).

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

494548416 is a wasteful number, since it uses less digits than its factorization.

494548416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5045 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 494548416 is about 22238.4445499230. Note that the first 3 decimals coincide. The cubic root of 494548416 is about 790.8053614692.

It can be divided in two parts, 4945 and 48416, that added together give a square (53361 = 2312).

The spelling of 494548416 in words is "four hundred ninety-four million, five hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5021 5184 5472 6156 8208 10042 10944 12312 15063 16416 20084 24624 30126 32832 40168 45189 49248 60252 80336 90378 95399 98496 120504 135567 160672 180756 190798 241008 271134 286197 321344 361512 381596 406701 482016 542268 572394 723024 763192 813402 858591 964032 1084536 1144788 1446048 1526384 1626804 1717182 2169072 2289576 2575773 2892096 3052768 3253608 3434364 4338144 4579152 5151546 6105536 6507216 6868728 7727319 8676288 9158304 10303092 13014432 13737456 15454638 18316608 20606184 26028864 27474912 30909276 41212368 54949824 61818552 82424736 123637104 164849472 247274208 494548416