Base | Representation |
---|---|
bin | 10001101010101… |
… | …10010000000000 |
3 | 101022212110121100 |
4 | 20311112100000 |
5 | 300414434441 |
6 | 22412254400 |
7 | 3446462151 |
oct | 1065262000 |
9 | 338773540 |
10 | 148202496 |
11 | 76724802 |
12 | 41771400 |
13 | 2491c9b0 |
14 | 1597b928 |
15 | d026cb6 |
hex | 8d56400 |
148202496 has 132 divisors (see below), whose sum is σ = 461221852. Its totient is φ = 45563904.
The previous prime is 148202473. The next prime is 148202497. The reversal of 148202496 is 694202841.
148202496 is a `hidden beast` number, since 148 + 20 + 2 + 496 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 83174400 = 8064^2 + 9120^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 148202496.
It is not an unprimeable number, because it can be changed into a prime (148202497) 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, 119190 + ... + 120426.
Almost surely, 2148202496 is an apocalyptic number.
148202496 is a gapful number since it is divisible by the number (16) 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 148202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230610926).
148202496 is an abundant number, since it is smaller than the sum of its proper divisors (313019356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148202496 is a wasteful number, since it uses less digits than its factorization.
148202496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1276 (or 1255 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 148202496 is about 12173.8447501190. The cubic root of 148202496 is about 529.1983799568.
The spelling of 148202496 in words is "one hundred forty-eight million, two hundred two thousand, four hundred ninety-six".
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