Base | Representation |
---|---|
bin | 11001010000001… |
… | …101000000000000 |
3 | 1002112020001220000 |
4 | 121100031000000 |
5 | 1331430143302 |
6 | 110012520000 |
7 | 13333126455 |
oct | 3120150000 |
9 | 1075201800 |
10 | 423677952 |
11 | 1a8178575 |
12 | b9a80000 |
13 | 69a11b19 |
14 | 403a982c |
15 | 272de31c |
hex | 1940d000 |
423677952 has 130 divisors (see below), whose sum is σ = 1266639858. Its totient is φ = 141115392.
The previous prime is 423677951. The next prime is 423677953. The reversal of 423677952 is 259776324.
It is an interprime number because it is at equal distance from previous prime (423677951) and next prime (423677953).
It can be written as a sum of positive squares in only one way, i.e., 383533056 + 40144896 = 19584^2 + 6336^2 .
It is a junction number, because it is equal to n+sod(n) for n = 423677898 and 423677907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (423677951) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331138 + ... + 332414.
Almost surely, 2423677952 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 423677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633319929).
423677952 is an abundant number, since it is smaller than the sum of its proper divisors (842961906).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
423677952 is an equidigital number, since it uses as much as digits as its factorization.
423677952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1313 (or 1282 counting only the distinct ones).
The product of its digits is 635040, while the sum is 45.
The square root of 423677952 is about 20583.4387797569. The cubic root of 423677952 is about 751.0668975864.
It can be divided in two parts, 4 and 23677952, that added together give a square (23677956 = 48662).
The spelling of 423677952 in words is "four hundred twenty-three million, six hundred seventy-seven thousand, nine hundred fifty-two".
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