Base | Representation |
---|---|
bin | 10001011110000… |
… | …01000011000100 |
3 | 101012202010220200 |
4 | 20233001003010 |
5 | 300003332123 |
6 | 22312530500 |
7 | 3426410310 |
oct | 1057010304 |
9 | 335663820 |
10 | 146542788 |
11 | 757a0847 |
12 | 410b0a30 |
13 | 2448b412 |
14 | 15668b40 |
15 | ccea143 |
hex | 8bc10c4 |
146542788 has 144 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 38817792.
The previous prime is 146542783. The next prime is 146542831. The reversal of 146542788 is 887245641.
146542788 is a `hidden beast` number, since 146 + 5 + 427 + 88 = 666.
It is not an unprimeable number, because it can be changed into a prime (146542783) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338220 + ... + 338652.
It is an arithmetic number, because the mean of its divisors is an integer number (3159520).
Almost surely, 2146542788 is an apocalyptic number.
146542788 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 146542788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).
146542788 is an abundant number, since it is smaller than the sum of its proper divisors (308428092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146542788 is a wasteful number, since it uses less digits than its factorization.
146542788 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 546 (or 541 counting only the distinct ones).
The product of its digits is 430080, while the sum is 45.
The square root of 146542788 is about 12105.4858638553. The cubic root of 146542788 is about 527.2154757389.
It can be divided in two parts, 1465 and 42788, that added together give a triangular number (44253 = T297).
The spelling of 146542788 in words is "one hundred forty-six million, five hundred forty-two thousand, seven hundred eighty-eight".
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