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148833000 = 23325323719
BaseRepresentation
bin10001101111100…
…00001011101000
3101101001111111100
420313300023220
5301100124000
622434001400
73455026311
oct1067601350
9341044440
10148833000
1177015488
1241a16260
1324ab0984
1415aa3608
15d0eda00
hex8df02e8

148833000 has 192 divisors, whose sum is σ = 525657600. Its totient is φ = 37910400.

The previous prime is 148832989. The next prime is 148833031. The reversal of 148833000 is 338841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206641 + ... + 207359.

It is an arithmetic number, because the mean of its divisors is an integer number (2737800).

Almost surely, 2148833000 is an apocalyptic number.

148833000 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 148833000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262828800).

148833000 is an abundant number, since it is smaller than the sum of its proper divisors (376824600).

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

148833000 is a wasteful number, since it uses less digits than its factorization.

148833000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 148833000 is about 12199.7131113809. The cubic root of 148833000 is about 529.9477817309.

The spelling of 148833000 in words is "one hundred forty-eight million, eight hundred thirty-three thousand".