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148808000 = 2653111989
BaseRepresentation
bin10001101111010…
…10000101000000
3101101000020012102
420313222011000
5301043324000
622433245532
73454563365
oct1067520500
9341006172
10148808000
1176aa8720
1241a038a8
1324aa2493
1415a9846c
15d0e63d5
hex8dea140

148808000 has 224 divisors, whose sum is σ = 427939200. Its totient is φ = 50688000.

The previous prime is 148807973. The next prime is 148808017. The reversal of 148808000 is 808841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671956 + ... + 1672044.

Almost surely, 2148808000 is an apocalyptic number.

148808000 is a gapful number since it is divisible by the number (10) 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 148808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213969600).

148808000 is an abundant number, since it is smaller than the sum of its proper divisors (279131200).

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

148808000 is a wasteful number, since it uses less digits than its factorization.

148808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 148808000 is about 12198.6884540921. The cubic root of 148808000 is about 529.9181076747.

The spelling of 148808000 in words is "one hundred forty-eight million, eight hundred eight thousand".