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490064256 = 2734114297
BaseRepresentation
bin11101001101011…
…100100110000000
31021011010211210000
4131031130212000
52000424024011
6120343440000
715100322523
oct3515344600
91234124700
10490064256
112316a0590
12118156000
137a6b6866
144912abba
152d054356
hex1d35c980

490064256 has 160 divisors (see below), whose sum is σ = 1591377480. Its totient is φ = 148469760.

The previous prime is 490064189. The next prime is 490064261. The reversal of 490064256 is 652460094.

490064256 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 642 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 490064256.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 111900 + ... + 116196.

Almost surely, 2490064256 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 490064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795688740).

490064256 is an abundant number, since it is smaller than the sum of its proper divisors (1101313224).

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

490064256 is a wasteful number, since it uses less digits than its factorization.

490064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 490064256 is about 22137.3949686949. The cubic root of 490064256 is about 788.4079758442.

The spelling of 490064256 in words is "four hundred ninety million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4297 4752 5184 6336 7128 8594 9504 10368 12672 12891 14256 17188 19008 25782 28512 34376 38016 38673 47267 51564 57024 68752 77346 94534 103128 114048 116019 137504 141801 154692 189068 206256 232038 275008 283602 309384 348057 378136 412512 425403 464076 550016 567204 618768 696114 756272 825024 850806 928152 1134408 1237536 1276209 1392228 1512544 1650048 1701612 1856304 2268816 2475072 2552418 2784456 3025088 3403224 3712608 3828627 4537632 4950144 5104836 5568912 6050176 6806448 7425216 7657254 9075264 10209672 11137824 13612896 14850432 15314508 18150528 20419344 22275648 27225792 30629016 40838688 44551296 54451584 61258032 81677376 122516064 163354752 245032128 490064256