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148766816 = 25112112003
BaseRepresentation
bin10001101111000…
…00000001100000
3101100221010201002
420313200001200
5301041014231
622432331132
73454332332
oct1067400140
9340833632
10148766816
1176a7a790
12419a3aa8
1324a89803
1415a87452
15d0d90cb
hex8de0060

148766816 has 48 divisors (see below), whose sum is σ = 321185088. Its totient is φ = 67267200.

The previous prime is 148766803. The next prime is 148766831. The reversal of 148766816 is 618667841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73271 + ... + 75273.

It is an arithmetic number, because the mean of its divisors is an integer number (6691356).

Almost surely, 2148766816 is an apocalyptic number.

148766816 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 148766816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160592544).

148766816 is an abundant number, since it is smaller than the sum of its proper divisors (172418272).

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

148766816 is a wasteful number, since it uses less digits than its factorization.

148766816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2227 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 148766816 is about 12197.0002869558. Note that the first 3 decimals coincide. The cubic root of 148766816 is about 529.8692165734.

The spelling of 148766816 in words is "one hundred forty-eight million, seven hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 211 352 422 844 1688 2003 2321 3376 4006 4642 6752 8012 9284 16024 18568 22033 32048 37136 44066 64096 74272 88132 176264 352528 422633 705056 845266 1690532 3381064 4648963 6762128 9297926 13524256 18595852 37191704 74383408 148766816