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455060016 = 24324771947
BaseRepresentation
bin11011000111111…
…010101000110000
31011201021102222200
4123013322220300
51412443410031
6113053303200
714163642405
oct3307725060
91151242880
10455060016
11213962364
12108494b00
137337bba8
14446182ac
1529e3c8e6
hex1b1faa30

455060016 has 120 divisors (see below), whose sum is σ = 1320344064. Its totient is φ = 146213760.

The previous prime is 455059999. The next prime is 455060041. The reversal of 455060016 is 610060554.

It is a happy number.

455060016 is a `hidden beast` number, since 4 + 5 + 50 + 600 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480055 + ... + 481001.

Almost surely, 2455060016 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 455060016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660172032).

455060016 is an abundant number, since it is smaller than the sum of its proper divisors (865284048).

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

455060016 is a wasteful number, since it uses less digits than its factorization.

455060016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 455060016 is about 21332.1357580529. The cubic root of 455060016 is about 769.1709838541.

The spelling of 455060016 in words is "four hundred fifty-five million, sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 71 72 94 141 142 144 188 213 282 284 376 423 426 564 568 639 752 846 852 947 1128 1136 1278 1692 1704 1894 2256 2556 2841 3337 3384 3408 3788 5112 5682 6674 6768 7576 8523 10011 10224 11364 13348 15152 17046 20022 22728 26696 30033 34092 40044 44509 45456 53392 60066 67237 68184 80088 89018 120132 133527 134474 136368 160176 178036 201711 240264 267054 268948 356072 400581 403422 480528 534108 537896 605133 712144 801162 806844 1068216 1075792 1210266 1602324 1613688 2136432 2420532 3160139 3204648 3227376 4841064 6320278 6409296 9480417 9682128 12640556 18960834 25281112 28441251 37921668 50562224 56882502 75843336 113765004 151686672 227530008 455060016