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148092384 = 2531131961
BaseRepresentation
bin10001101001110…
…11010111100000
3101022122212120010
420310323113200
5300402424014
622410044520
73445523136
oct1064732740
9338585503
10148092384
117665a000
1241719740
13248b183b
141594d756
15d004359
hex8d3b5e0

148092384 has 192 divisors, whose sum is σ = 457470720. Its totient is φ = 41817600.

The previous prime is 148092383. The next prime is 148092391. The reversal of 148092384 is 483290841.

148092384 = 932 + 942 + ... + 7632.

148092384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148092383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427714 + ... + 2427774.

It is an arithmetic number, because the mean of its divisors is an integer number (2382660).

Almost surely, 2148092384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148092384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228735360).

148092384 is an abundant number, since it is smaller than the sum of its proper divisors (309378336).

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

148092384 is a wasteful number, since it uses less digits than its factorization.

148092384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 148092384 is about 12169.3214272613. The cubic root of 148092384 is about 529.0672856072.

The spelling of 148092384 in words is "one hundred forty-eight million, ninety-two thousand, three hundred eighty-four".