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148048992 = 25337213269
BaseRepresentation
bin10001101001100…
…00110001100000
3101022120200001000
420310300301200
5300400031432
622405112000
73445252500
oct1064606140
9338520030
10148048992
117662a443
12416b8600
1324897b70
141593ba00
15cee657c
hex8d30c60

148048992 has 288 divisors, whose sum is σ = 542959200. Its totient is φ = 38900736.

The previous prime is 148048921. The next prime is 148048993. The reversal of 148048992 is 299840841.

148048992 is a `hidden beast` number, since 1 + 4 + 80 + 489 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148048993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550234 + ... + 550502.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2148048992 is an apocalyptic number.

148048992 is a gapful number since it is divisible by the number (12) 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 148048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271479600).

148048992 is an abundant number, since it is smaller than the sum of its proper divisors (394910208).

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

148048992 is a wasteful number, since it uses less digits than its factorization.

148048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 148048992 is about 12167.5384527849. The cubic root of 148048992 is about 529.0156072120.

The spelling of 148048992 in words is "one hundred forty-eight million, forty-eight thousand, nine hundred ninety-two".