Search a number
-
+
148615488 = 26327293141
BaseRepresentation
bin10001101101110…
…11000101000000
3101100122110010100
420312323011000
5301021143423
622425202400
73453132210
oct1066730500
9340573110
10148615488
117698701a
1241930400
1324a35978
1415a48240
15d0a9343
hex8dbb140

148615488 has 336 divisors, whose sum is σ = 532546560. Its totient is φ = 38707200.

The previous prime is 148615483. The next prime is 148615531. The reversal of 148615488 is 884516841.

148615488 is a `hidden beast` number, since 1 + 48 + 61 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148615483) 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, 3624748 + ... + 3624788.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2148615488 is an apocalyptic number.

148615488 is a gapful number since it is divisible by the number (18) 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 148615488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

148615488 is an abundant number, since it is smaller than the sum of its proper divisors (383931072).

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

148615488 is a wasteful number, since it uses less digits than its factorization.

148615488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 148615488 is about 12190.7952160636. The cubic root of 148615488 is about 529.6894917877.

The spelling of 148615488 in words is "one hundred forty-eight million, six hundred fifteen thousand, four hundred eighty-eight".