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455550016 = 26411271367
BaseRepresentation
bin11011001001110…
…010010001000000
31011202012100010211
4123021302101000
51413110100031
6113112003504
714201053105
oct3311622100
91152170124
10455550016
11214167519
12108690594
13734c0c2c
1444704aac
1529ed7bb1
hex1b272440

455550016 has 56 divisors (see below), whose sum is σ = 934004736. Its totient is φ = 220308480.

The previous prime is 455549993. The next prime is 455550047. The reversal of 455550016 is 610055554.

It is a self number, because there is not a number n which added to its sum of digits gives 455550016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332565 + ... + 333931.

It is an arithmetic number, because the mean of its divisors is an integer number (16678656).

Almost surely, 2455550016 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 455550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467002368).

455550016 is an abundant number, since it is smaller than the sum of its proper divisors (478454720).

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

455550016 is a wasteful number, since it uses less digits than its factorization.

455550016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 455550016 is about 21343.6176877304. The cubic root of 455550016 is about 769.4469610676.

The spelling of 455550016 in words is "four hundred fifty-five million, five hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 127 164 254 328 508 656 1016 1312 1367 2032 2624 2734 4064 5207 5468 8128 10414 10936 20828 21872 41656 43744 56047 83312 87488 112094 166624 173609 224188 333248 347218 448376 694436 896752 1388872 1793504 2777744 3587008 5555488 7117969 11110976 14235938 28471876 56943752 113887504 227775008 455550016