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148042440 = 233257134519
BaseRepresentation
bin10001101001011…
…11001011001000
3101022120100001100
420310233023020
5300344324230
622405021400
73445224420
oct1064571310
9338510040
10148042440
1176625527
12416b4860
1324894ba0
1415939480
15cee4660
hex8d2f2c8

148042440 has 192 divisors, whose sum is σ = 592300800. Its totient is φ = 31228416.

The previous prime is 148042429. The next prime is 148042441. The reversal of 148042440 is 44240841.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (148042441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30501 + ... + 35019.

It is an arithmetic number, because the mean of its divisors is an integer number (3084900).

Almost surely, 2148042440 is an apocalyptic number.

148042440 is a gapful number since it is divisible by the number (10) 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 148042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296150400).

148042440 is an abundant number, since it is smaller than the sum of its proper divisors (444258360).

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

148042440 is a wasteful number, since it uses less digits than its factorization.

148042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 148042440 is about 12167.2692088241. The cubic root of 148042440 is about 529.0078031255.

The spelling of 148042440 in words is "one hundred forty-eight million, forty-two thousand, four hundred forty".