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148008816 = 2433595807
BaseRepresentation
bin10001101001001…
…10111101110000
3101022111121221000
420310212331300
5300342240231
622404202000
73445024404
oct1064467560
9338447830
10148008816
117660223a
1241699300
13248827a7
141592b104
15ced96e6
hex8d26f70

148008816 has 80 divisors (see below), whose sum is σ = 432115200. Its totient is φ = 48491712.

The previous prime is 148008797. The next prime is 148008821. The reversal of 148008816 is 618800841.

148008816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1480088162 = 43813219227443712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22585 + ... + 28391.

It is an arithmetic number, because the mean of its divisors is an integer number (5401440).

Almost surely, 2148008816 is an apocalyptic number.

148008816 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 148008816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

148008816 is an abundant number, since it is smaller than the sum of its proper divisors (284106384).

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

148008816 is a wasteful number, since it uses less digits than its factorization.

148008816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 148008816 is about 12165.8873905688. The cubic root of 148008816 is about 528.9677499597.

The spelling of 148008816 in words is "one hundred forty-eight million, eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 5807 6372 8496 11614 12744 17421 23228 25488 34842 46456 52263 69684 92912 104526 139368 156789 209052 278736 313578 342613 418104 627156 685226 836208 1027839 1254312 1370452 2055678 2508624 2740904 3083517 4111356 5481808 6167034 8222712 9250551 12334068 16445424 18501102 24668136 37002204 49336272 74004408 148008816