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454881856 = 261113232161
BaseRepresentation
bin11011000111001…
…111001001000000
31011200221101121011
4123013033021000
51412422204411
6113045410304
714162301112
oct3307171100
91150841534
10454881856
11213850520
12108409994
1373318a80
14445ad3b2
1529e04c21
hex1b1cf240

454881856 has 112 divisors (see below), whose sum is σ = 1107082368. Its totient is φ = 182476800.

The previous prime is 454881853. The next prime is 454881919. The reversal of 454881856 is 658188454.

It is not an unprimeable number, because it can be changed into a prime (454881851) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 209416 + ... + 211576.

It is an arithmetic number, because the mean of its divisors is an integer number (9884664).

Almost surely, 2454881856 is an apocalyptic number.

454881856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454881856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553541184).

454881856 is an abundant number, since it is smaller than the sum of its proper divisors (652200512).

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

454881856 is a wasteful number, since it uses less digits than its factorization.

454881856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2210 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 49.

The square root of 454881856 is about 21327.9594898340. The cubic root of 454881856 is about 769.0705916823.

The spelling of 454881856 in words is "four hundred fifty-four million, eight hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 64 88 92 104 143 176 184 208 253 286 299 352 368 416 506 572 598 704 736 832 1012 1144 1196 1472 2024 2161 2288 2392 3289 4048 4322 4576 4784 6578 8096 8644 9152 9568 13156 16192 17288 19136 23771 26312 28093 34576 47542 49703 52624 56186 69152 95084 99406 105248 112372 138304 190168 198812 210496 224744 309023 380336 397624 449488 546733 618046 646139 760672 795248 898976 1093466 1236092 1292278 1521344 1590496 1797952 2186932 2472184 2584556 3180992 4373864 4944368 5169112 7107529 8747728 9888736 10338224 14215058 17495456 19777472 20676448 28430116 34990912 41352896 56860232 113720464 227440928 454881856