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148436928 = 26331731163
BaseRepresentation
bin10001101100011…
…11011111000000
3101100022101012000
420312033133000
5300444440203
622421304000
73451456503
oct1066173700
9340271160
10148436928
1176874952
1241865000
13249a2603
14159dd13a
15d0714a3
hex8d8f7c0

148436928 has 224 divisors, whose sum is σ = 479877120. Its totient is φ = 44789760.

The previous prime is 148436909. The next prime is 148436947. The reversal of 148436928 is 829634841.

It is a happy number.

148436928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148436909) and next prime (148436947).

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

Its product of digits (331776) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910575 + ... + 910737.

Almost surely, 2148436928 is an apocalyptic number.

148436928 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 148436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239938560).

148436928 is an abundant number, since it is smaller than the sum of its proper divisors (331440192).

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

148436928 is a wasteful number, since it uses less digits than its factorization.

148436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 148436928 is about 12183.4694566039. The cubic root of 148436928 is about 529.4772679212.

The spelling of 148436928 in words is "one hundred forty-eight million, four hundred thirty-six thousand, nine hundred twenty-eight".