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148563664 = 2441534273
BaseRepresentation
bin10001101101011…
…10011011010000
3101100112211000221
420312232123100
5301013014124
622424122424
73452525134
oct1066563320
9340484027
10148563664
1176951097
1241906414
1324a181c2
1415a333c4
15d098ce4
hex8dae6d0

148563664 has 40 divisors (see below), whose sum is σ = 300496392. Its totient is φ = 71086080.

The previous prime is 148563661. The next prime is 148563673. The reversal of 148563664 is 466365841.

It is a happy number.

148563664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 146894400 = 1292^2 + 12120^2 .

It is a super-2 number, since 2×1485636642 = 44142324522209792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148563664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148563661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32632 + ... + 36904.

Almost surely, 2148563664 is an apocalyptic number.

It is an amenable number.

148563664 is an abundant number, since it is smaller than the sum of its proper divisors (151932728).

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

148563664 is a wasteful number, since it uses less digits than its factorization.

148563664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4369 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 148563664 is about 12188.6694926066. The cubic root of 148563664 is about 529.6279149405.

The spelling of 148563664 in words is "one hundred forty-eight million, five hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 41 53 82 106 164 212 328 424 656 848 2173 4273 4346 8546 8692 17092 17384 34184 34768 68368 175193 226469 350386 452938 700772 905876 1401544 1811752 2803088 3623504 9285229 18570458 37140916 74281832 148563664