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480498954 = 231347532473
BaseRepresentation
bin11100101000111…
…101010100001010
31020111010212122120
4130220331110022
51441001431304
6115402432110
714623113405
oct3450752412
91214125576
10480498954
11227257a81
12114b02636
1378717b10
1447b5ad3c
152c2b50d9
hex1ca3d50a

480498954 has 64 divisors (see below), whose sum is σ = 1077318144. Its totient is φ = 141912576.

The previous prime is 480498947. The next prime is 480499031. The reversal of 480498954 is 459894084.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 480498897 and 480498906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193062 + ... + 195534.

It is an arithmetic number, because the mean of its divisors is an integer number (16833096).

Almost surely, 2480498954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480498954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538659072).

480498954 is an abundant number, since it is smaller than the sum of its proper divisors (596819190).

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

480498954 is a wasteful number, since it uses less digits than its factorization.

480498954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591.

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 480498954 is about 21920.2863576186. The cubic root of 480498954 is about 783.2447313499.

The spelling of 480498954 in words is "four hundred eighty million, four hundred ninety-eight thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 47 53 78 94 106 141 159 282 318 611 689 1222 1378 1833 2067 2473 2491 3666 4134 4946 4982 7419 7473 14838 14946 32149 32383 64298 64766 96447 97149 116231 131069 192894 194298 232462 262138 348693 393207 697386 786414 1511003 1703897 3022006 3407794 4533009 5111691 6160243 9066018 10223382 12320486 18480729 36961458 80083159 160166318 240249477 480498954