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148424232 = 23311896317
BaseRepresentation
bin10001101100011…
…00011000101000
3101100021201202210
420312030120220
5300444033412
622421125120
73451404465
oct1066143050
9340251683
10148424232
1176866360
12418597a0
13249998b8
14159d866c
15d06c83c
hex8d8c628

148424232 has 64 divisors (see below), whose sum is σ = 409406400. Its totient is φ = 44464640.

The previous prime is 148424231. The next prime is 148424239. The reversal of 148424232 is 232424841.

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 148424232.

It is not an unprimeable number, because it can be changed into a prime (148424231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20338 + ... + 26654.

It is an arithmetic number, because the mean of its divisors is an integer number (6396975).

Almost surely, 2148424232 is an apocalyptic number.

148424232 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 148424232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204703200).

148424232 is an abundant number, since it is smaller than the sum of its proper divisors (260982168).

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

148424232 is a wasteful number, since it uses less digits than its factorization.

148424232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6422 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 148424232 is about 12182.9484116120. The cubic root of 148424232 is about 529.4621718685.

The spelling of 148424232 in words is "one hundred forty-eight million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1958 2136 2937 3916 5874 6317 7832 11748 12634 18951 23496 25268 37902 50536 69487 75804 138974 151608 208461 277948 416922 555896 562213 833844 1124426 1667688 1686639 2248852 3373278 4497704 6184343 6746556 12368686 13493112 18553029 24737372 37106058 49474744 74212116 148424232