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148231296 = 273417292
BaseRepresentation
bin10001101010111…
…01010010000000
3101022220221010000
420311131102000
5300421400141
622413040000
73446642133
oct1065352200
9338827100
10148231296
1176744404
1241786000
132492cb35
141598821a
15d0305b6
hex8d5d480

148231296 has 240 divisors, whose sum is σ = 483744690. Its totient is φ = 44900352.

The previous prime is 148231289. The next prime is 148231327. The reversal of 148231296 is 692132841.

It can be written as a sum of positive squares in 3 ways, for example, as 141134400 + 7096896 = 11880^2 + 2664^2 .

It is a super-2 number, since 2×1482312962 = 43945034227679232, which contains 22 as substring.

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

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 148231296.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 5111410 + ... + 5111438.

Almost surely, 2148231296 is an apocalyptic number.

148231296 is a gapful number since it is divisible by the number (16) 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 148231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241872345).

148231296 is an abundant number, since it is smaller than the sum of its proper divisors (335513394).

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

148231296 is an equidigital number, since it uses as much as digits as its factorization.

148231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 51 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 148231296 is about 12175.0275564370. The cubic root of 148231296 is about 529.2326572162.

The spelling of 148231296 in words is "one hundred forty-eight million, two hundred thirty-one thousand, two hundred ninety-six".