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148593664 = 210312151
BaseRepresentation
bin10001101101101…
…01110000000000
3101100121100012001
420312311300000
5301014444124
622424513344
73453011452
oct1066656000
9340540161
10148593664
117697168a
124191b854
1324a28a5b
1415a402d2
15d0a2b44
hex8db5c00

148593664 has 66 divisors (see below), whose sum is σ = 308965992. Its totient is φ = 71424000.

The previous prime is 148593647. The next prime is 148593673. The reversal of 148593664 is 466395841.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 983989 + ... + 984139.

Almost surely, 2148593664 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 148593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154482996).

148593664 is an abundant number, since it is smaller than the sum of its proper divisors (160372328).

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

148593664 is an equidigital number, since it uses as much as digits as its factorization.

148593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 184 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 148593664 is about 12189.9000816250. The cubic root of 148593664 is about 529.6635624369.

The spelling of 148593664 in words is "one hundred forty-eight million, five hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 151 248 256 302 496 512 604 961 992 1024 1208 1922 1984 2416 3844 3968 4681 4832 7688 7936 9362 9664 15376 15872 18724 19328 30752 31744 37448 38656 61504 74896 77312 123008 145111 149792 154624 246016 290222 299584 492032 580444 599168 984064 1160888 1198336 2321776 2396672 4643552 4793344 9287104 18574208 37148416 74296832 148593664