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148115968 = 2971113172
BaseRepresentation
bin10001101010000…
…01001000000000
3101022201001220121
420311001020000
5300404202333
622410350024
73445651660
oct1065011000
9338631817
10148115968
11766757a0
124172b314
13248bc4b0
14159581a0
15d00b32d
hex8d41200

148115968 has 240 divisors, whose sum is σ = 422097984. Its totient is φ = 50135040.

The previous prime is 148115959. The next prime is 148115969. The reversal of 148115968 is 869511841.

148115968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (148115969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8712696 + ... + 8712712.

Almost surely, 2148115968 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 148115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211048992).

148115968 is an abundant number, since it is smaller than the sum of its proper divisors (273982016).

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

148115968 is a wasteful number, since it uses less digits than its factorization.

148115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its digits is 69120, while the sum is 43.

The square root of 148115968 is about 12170.2903827312. The cubic root of 148115968 is about 529.0953691143.

The spelling of 148115968 in words is "one hundred forty-eight million, one hundred fifteen thousand, nine hundred sixty-eight".