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158048800 = 25527132167
BaseRepresentation
bin10010110101110…
…10001000100000
3102000101201012021
421122322020200
5310430030200
623403311224
73626251450
oct1132721040
9360351167
10158048800
118123a448
1244b1b514
1326989600
1416dc1d60
15dd1e41a
hex96ba220

158048800 has 216 divisors, whose sum is σ = 480344256. Its totient is φ = 49720320.

The previous prime is 158048791. The next prime is 158048837. The reversal of 158048800 is 8840851.

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 35 ways as a sum of consecutive naturals, for example, 946317 + ... + 946483.

It is an arithmetic number, because the mean of its divisors is an integer number (2223816).

Almost surely, 2158048800 is an apocalyptic number.

158048800 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 158048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240172128).

158048800 is an abundant number, since it is smaller than the sum of its proper divisors (322295456).

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

158048800 is a wasteful number, since it uses less digits than its factorization.

158048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 158048800 is about 12571.7460998860. The cubic root of 158048800 is about 540.6676697919.

The spelling of 158048800 in words is "one hundred fifty-eight million, forty-eight thousand, eight hundred".