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148351104 = 27321123509
BaseRepresentation
bin10001101011110…
…10100010000000
3101100011000110100
420311322202000
5300434213404
622415402400
73450651336
oct1065724200
9340130410
10148351104
1176816420
1241823400
1324972525
14159b9b56
15d055d39
hex8d7a880

148351104 has 192 divisors, whose sum is σ = 486907200. Its totient is φ = 42915840.

The previous prime is 148351097. The next prime is 148351109. The reversal of 148351104 is 401153841.

It is a happy number.

148351104 is a `hidden beast` number, since 148 + 3 + 511 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (148351109) 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 23 ways as a sum of consecutive naturals, for example, 291202 + ... + 291710.

It is an arithmetic number, because the mean of its divisors is an integer number (2535975).

Almost surely, 2148351104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243453600).

148351104 is an abundant number, since it is smaller than the sum of its proper divisors (338556096).

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

148351104 is a wasteful number, since it uses less digits than its factorization.

148351104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 148351104 is about 12179.9467979134. The cubic root of 148351104 is about 529.3752029827.

The spelling of 148351104 in words is "one hundred forty-eight million, three hundred fifty-one thousand, one hundred four".