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455438256 = 243713127821
BaseRepresentation
bin11011001001010…
…110111110110000
31011201222122211120
4123021112332300
51413043011011
6113105342240
714200106220
oct3311267660
91151878746
10455438256
112140a0559
12108637980
13734820c0
14446b6080
1529eb4a06
hex1b256fb0

455438256 has 160 divisors (see below), whose sum is σ = 1461239808. Its totient is φ = 119024640.

The previous prime is 455438231. The next prime is 455438257. The reversal of 455438256 is 652834554.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (455438257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554326 + ... + 555146.

Almost surely, 2455438256 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 455438256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730619904).

455438256 is an abundant number, since it is smaller than the sum of its proper divisors (1005801552).

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

455438256 is a wasteful number, since it uses less digits than its factorization.

455438256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

The square root of 455438256 is about 21340.9994142730. Note that the first 3 decimals coincide. The cubic root of 455438256 is about 769.3840331617.

The spelling of 455438256 in words is "four hundred fifty-five million, four hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 127 156 168 182 208 254 273 312 336 364 381 508 546 624 728 762 821 889 1016 1092 1456 1524 1642 1651 1778 2032 2184 2463 2667 3048 3284 3302 3556 4368 4926 4953 5334 5747 6096 6568 6604 7112 9852 9906 10668 10673 11494 11557 13136 13208 14224 17241 19704 19812 21336 21346 22988 23114 26416 32019 34482 34671 39408 39624 42672 42692 45976 46228 64038 68964 69342 74711 79248 85384 91952 92456 104267 128076 137928 138684 149422 170768 184912 208534 224133 256152 275856 277368 298844 312801 417068 448266 512304 554736 597688 625602 729869 834136 896532 1195376 1251204 1355471 1459738 1668272 1793064 2189607 2502408 2710942 2919476 3586128 4066413 4379214 5004816 5421884 5838952 8132826 8758428 9488297 10843768 11677904 16265652 17516856 18976594 21687536 28464891 32531304 35033712 37953188 56929782 65062608 75906376 113859564 151812752 227719128 455438256