Base | Representation |
---|---|
bin | 11001011110110… |
… | …010011001100000 |
3 | 1002210102022100000 |
4 | 121132302121200 |
5 | 1333420014102 |
6 | 110230500000 |
7 | 13410462021 |
oct | 3136623140 |
9 | 1083368300 |
10 | 427501152 |
11 | 1aa349a41 |
12 | bb204600 |
13 | 6a750080 |
14 | 40ac2c48 |
15 | 277e701c |
hex | 197b2660 |
427501152 has 144 divisors (see below), whose sum is σ = 1358033040. Its totient is φ = 131507712.
The previous prime is 427501147. The next prime is 427501157. The reversal of 427501152 is 251105724.
427501152 is a `hidden beast` number, since 4 + 2 + 7 + 501 + 152 = 666.
It is an interprime number because it is at equal distance from previous prime (427501147) and next prime (427501157).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×4275011522 = 365514469922654208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (427501157) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98974 + ... + 103202.
It is an arithmetic number, because the mean of its divisors is an integer number (9430785).
Almost surely, 2427501152 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 427501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679016520).
427501152 is an abundant number, since it is smaller than the sum of its proper divisors (930531888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427501152 is a wasteful number, since it uses less digits than its factorization.
427501152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4267 (or 4247 counting only the distinct ones).
The product of its (nonzero) digits is 2800, while the sum is 27.
The square root of 427501152 is about 20676.1009864046. The cubic root of 427501152 is about 753.3193039564.
Adding to 427501152 its reverse (251105724), we get a palindrome (678606876).
The spelling of 427501152 in words is "four hundred twenty-seven million, five hundred one thousand, one hundred fifty-two".
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