Search a number
-
+
148198176 = 25327195373
BaseRepresentation
bin10001101010101…
…01001100100000
3101022212020200100
420311111030200
5300414320201
622412222400
73446443440
oct1065251440
9338766610
10148198176
1176721535
124176aa00
132491aa39
141597a120
15d025886
hex8d55320

148198176 has 288 divisors, whose sum is σ = 523635840. Its totient is φ = 38817792.

The previous prime is 148198159. The next prime is 148198187. The reversal of 148198176 is 671891841.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (96768) is a multiple of the sum of its prime factors (168).

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 47 ways as a sum of consecutive naturals, for example, 2030076 + ... + 2030148.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 2148198176 is an apocalyptic number.

148198176 is a gapful number since it is divisible by the number (16) 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 148198176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261817920).

148198176 is an abundant number, since it is smaller than the sum of its proper divisors (375437664).

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

148198176 is a wasteful number, since it uses less digits than its factorization.

148198176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 148198176 is about 12173.6673192592. The cubic root of 148198176 is about 529.1932379848.

The spelling of 148198176 in words is "one hundred forty-eight million, one hundred ninety-eight thousand, one hundred seventy-six".