Base | Representation |
---|---|
bin | 100110010101… |
… | …111110100000 |
3 | 200220200001100 |
4 | 212111332200 |
5 | 10033121423 |
6 | 555234400 |
7 | 151302426 |
oct | 46257640 |
9 | 20820040 |
10 | 10051488 |
11 | 5745917 |
12 | 3448a00 |
13 | 210c135 |
14 | 1499116 |
15 | d38343 |
hex | 995fa0 |
10051488 has 72 divisors (see below), whose sum is σ = 30280068. Its totient is φ = 3151872.
The previous prime is 10051469. The next prime is 10051501. The reversal of 10051488 is 88415001.
10051488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 242064 = 3132^2 + 492^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×100514882 = 202064822028288, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3870 + ... + 5922.
Almost surely, 210051488 is an apocalyptic number.
10051488 is a gapful number since it is divisible by the number (18) 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 10051488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15140034).
10051488 is an abundant number, since it is smaller than the sum of its proper divisors (20228580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10051488 is a wasteful number, since it uses less digits than its factorization.
10051488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2086 (or 2075 counting only the distinct ones).
The product of its (nonzero) digits is 1280, while the sum is 27.
The square root of 10051488 is about 3170.4081756140. The cubic root of 10051488 is about 215.8125946525.
Adding to 10051488 its reverse (88415001), we get a palindrome (98466489).
The spelling of 10051488 in words is "ten million, fifty-one thousand, four hundred eighty-eight".
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