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148110464 = 277997151
BaseRepresentation
bin10001101001111…
…11110010000000
3101022200210100202
420310333302000
5300404013324
622410304332
73445626635
oct1064776200
9338623322
10148110464
1176671647
12417280a8
13248b9b38
141595618c
15d0098ae
hex8d3fc80

148110464 has 64 divisors (see below), whose sum is σ = 303878400. Its totient is φ = 71884800.

The previous prime is 148110433. The next prime is 148110481. The reversal of 148110464 is 464011841.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 980789 + ... + 980939.

It is an arithmetic number, because the mean of its divisors is an integer number (4748100).

Almost surely, 2148110464 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 148110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939200).

148110464 is an abundant number, since it is smaller than the sum of its proper divisors (155767936).

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

148110464 is an equidigital number, since it uses as much as digits as its factorization.

148110464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 148110464 is about 12170.0642561985. The cubic root of 148110464 is about 529.0888152925.

The spelling of 148110464 in words is "one hundred forty-eight million, one hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 79 97 128 151 158 194 302 316 388 604 632 776 1208 1264 1552 2416 2528 3104 4832 5056 6208 7663 9664 10112 11929 12416 14647 15326 19328 23858 29294 30652 47716 58588 61304 95432 117176 122608 190864 234352 245216 381728 468704 490432 763456 937408 980864 1157113 1526912 1874816 2314226 4628452 9256904 18513808 37027616 74055232 148110464