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461490354 = 2321319234513
BaseRepresentation
bin11011100000011…
…100100010110010
31012011101010202100
4123200130202302
51421120142404
6113443201230
714302413633
oct3340344262
91164333670
10461490354
11217554596
1210a676216
13747c0a20
144540d88a
152a7acd39
hex1b81c8b2

461490354 has 96 divisors (see below), whose sum is σ = 1183029120. Its totient is φ = 128646144.

The previous prime is 461490349. The next prime is 461490361. The reversal of 461490354 is 453094164.

461490354 is a `hidden beast` number, since 4 + 614 + 9 + 0 + 35 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 100002 + ... + 104514.

It is an arithmetic number, because the mean of its divisors is an integer number (12323220).

Almost surely, 2461490354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461490354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591514560).

461490354 is an abundant number, since it is smaller than the sum of its proper divisors (721538766).

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

461490354 is a wasteful number, since it uses less digits than its factorization.

461490354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4573 counting only the distinct ones).

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

The square root of 461490354 is about 21482.3265499806. The cubic root of 461490354 is about 772.7770382855. Note that the first 3 decimals are identical.

The spelling of 461490354 in words is "four hundred sixty-one million, four hundred ninety thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 23 26 38 39 46 57 69 78 114 117 138 171 207 234 247 299 342 414 437 494 598 741 874 897 1311 1482 1794 2223 2622 2691 3933 4446 4513 5382 5681 7866 9026 11362 13539 17043 27078 34086 40617 51129 58669 81234 85747 102258 103799 117338 171494 176007 207598 257241 311397 352014 514482 528021 622794 771723 934191 1056042 1114711 1349387 1543446 1868382 1972181 2229422 2698774 3344133 3944362 4048161 5916543 6688266 8096322 10032399 11833086 12144483 17749629 20064798 24288966 25638353 35499258 51276706 76915059 153830118 230745177 461490354