Base | Representation |
---|---|
bin | 1001001100111111… |
… | …0100100000000000 |
3 | 20101011111012220110 |
4 | 2103033310200000 |
5 | 20024410213302 |
6 | 1045045111320 |
7 | 115135015251 |
oct | 22317644000 |
9 | 6334435813 |
10 | 2470397952 |
11 | 1058525600 |
12 | 58b3b8540 |
13 | 304a66649 |
14 | 196146b28 |
15 | e6d2eb6c |
hex | 933f4800 |
2470397952 has 144 divisors (see below), whose sum is σ = 7241466960. Its totient is φ = 748380160.
The previous prime is 2470397939. The next prime is 2470397957. The reversal of 2470397952 is 2597930742.
It is a super-3 number, since 3×24703979523 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (2470397957) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741763 + ... + 745085.
It is an arithmetic number, because the mean of its divisors is an integer number (50287965).
Almost surely, 22470397952 is an apocalyptic number.
2470397952 is a gapful number since it is divisible by the number (22) 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 2470397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620733480).
2470397952 is an abundant number, since it is smaller than the sum of its proper divisors (4771069008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2470397952 is a wasteful number, since it uses less digits than its factorization.
2470397952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3370 (or 3339 counting only the distinct ones).
The product of its (nonzero) digits is 952560, while the sum is 48.
The square root of 2470397952 is about 49703.0980120958. The cubic root of 2470397952 is about 1351.8307036830.
The spelling of 2470397952 in words is "two billion, four hundred seventy million, three hundred ninety-seven thousand, nine hundred fifty-two".
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