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148129848 = 23327328183
BaseRepresentation
bin10001101010001…
…00100000111000
3101022201202221200
420311010200320
5300410123343
622410534200
73446040306
oct1065044070
9338652850
10148129848
1176685169
1241737360
13248c58c9
141595d276
15d0104d3
hex8d44838

148129848 has 48 divisors (see below), whose sum is σ = 406695120. Its totient is φ = 48698496.

The previous prime is 148129783. The next prime is 148129889. The reversal of 148129848 is 848921841.

It is a nude number because it is divisible by every one of its digits.

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, 8836 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (8472815).

Almost surely, 2148129848 is an apocalyptic number.

148129848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148129848 is an abundant number, since it is smaller than the sum of its proper divisors (258565272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148129848 is a wasteful number, since it uses less digits than its factorization.

148129848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28268 (or 28261 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 148129848 is about 12170.8606104909. The cubic root of 148129848 is about 529.1118958364. Note that the first 3 decimals are identical.

It can be divided in two parts, 1481 and 29848, that added together give a square (31329 = 1772).

The spelling of 148129848 in words is "one hundred forty-eight million, one hundred twenty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 28183 56366 84549 112732 169098 225464 253647 338196 507294 676392 1014588 2029176 2057359 4114718 6172077 8229436 12344154 16458872 18516231 24688308 37032462 49376616 74064924 148129848