Search a number
-
+
148279824 = 243271143311
BaseRepresentation
bin10001101011010…
…01001000010000
3101100000101200100
420311221020100
5300424423244
622414052400
73450233460
oct1065511020
9340011610
10148279824
1176777910
12417aa100
1324948c54
141599bba0
15d03eb69
hex8d69210

148279824 has 240 divisors, whose sum is σ = 531108864. Its totient is φ = 37497600.

The previous prime is 148279811. The next prime is 148279847. The reversal of 148279824 is 428972841.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148279824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476629 + ... + 476939.

Almost surely, 2148279824 is an apocalyptic number.

148279824 is a gapful number since it is divisible by the number (14) 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 148279824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265554432).

148279824 is an abundant number, since it is smaller than the sum of its proper divisors (382829040).

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

148279824 is a wasteful number, since it uses less digits than its factorization.

148279824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 148279824 is about 12177.0203251863. The cubic root of 148279824 is about 529.2904043562.

It can be divided in two parts, 148 and 279824, that added together give a palindrome (279972).

The spelling of 148279824 in words is "one hundred forty-eight million, two hundred seventy-nine thousand, eight hundred twenty-four".