Base | Representation |
---|---|
bin | 11011101010111… |
… | …011111101100000 |
3 | 1012100112212012212 |
4 | 123222323331200 |
5 | 1422321143410 |
6 | 114022141252 |
7 | 14334656534 |
oct | 3352737540 |
9 | 1170485185 |
10 | 464240480 |
11 | 219062820 |
12 | 10b581828 |
13 | 75244712 |
14 | 45927bc4 |
15 | 2ab52b05 |
hex | 1babbf60 |
464240480 has 96 divisors (see below), whose sum is σ = 1228983840. Its totient is φ = 164229120.
The previous prime is 464240473. The next prime is 464240519. The reversal of 464240480 is 84042464.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61556 + ... + 68684.
It is an arithmetic number, because the mean of its divisors is an integer number (12801915).
Almost surely, 2464240480 is an apocalyptic number.
464240480 is a gapful number since it is divisible by the number (40) 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 464240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614491920).
464240480 is an abundant number, since it is smaller than the sum of its proper divisors (764743360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
464240480 is a wasteful number, since it uses less digits than its factorization.
464240480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7192 (or 7184 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 32.
The square root of 464240480 is about 21546.2405073368. The cubic root of 464240480 is about 774.3090504884.
The spelling of 464240480 in words is "four hundred sixty-four million, two hundred forty thousand, four hundred eighty".
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