Search a number
-
+
148828032 = 27322341137
BaseRepresentation
bin10001101111011…
…10111110000000
3101101001020200100
420313232332000
5301044444112
622433522400
73455005653
oct1067567600
9341036610
10148828032
1177011781
1241a13400
1324aab632
1415aa189a
15d0ec2dc
hex8deef80

148828032 has 192 divisors, whose sum is σ = 461129760. Its totient is φ = 45957120.

The previous prime is 148828019. The next prime is 148828033. The reversal of 148828032 is 230828841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148828033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086268 + ... + 1086404.

Almost surely, 2148828032 is an apocalyptic number.

148828032 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 148828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230564880).

148828032 is an abundant number, since it is smaller than the sum of its proper divisors (312301728).

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

148828032 is a wasteful number, since it uses less digits than its factorization.

148828032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 148828032 is about 12199.5094983364. The cubic root of 148828032 is about 529.9418851670.

The spelling of 148828032 in words is "one hundred forty-eight million, eight hundred twenty-eight thousand, thirty-two".