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144827648 = 28780819
BaseRepresentation
bin10001010000111…
…10010100000000
3101002112000011222
420220132110000
5244033441043
622212054212
73406005020
oct1050362400
9332460158
10144827648
117482a179
1240604368
132400a844
141533da80
15caabd68
hex8a1e500

144827648 has 36 divisors (see below), whose sum is σ = 330392160. Its totient is φ = 62068224.

The previous prime is 144827609. The next prime is 144827651. The reversal of 144827648 is 846728441.

It is a junction number, because it is equal to n+sod(n) for n = 144827599 and 144827608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38618 + ... + 42201.

It is an arithmetic number, because the mean of its divisors is an integer number (9177560).

Almost surely, 2144827648 is an apocalyptic number.

It is an amenable number.

144827648 is an abundant number, since it is smaller than the sum of its proper divisors (185564512).

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

144827648 is an frugal number, since it uses more digits than its factorization.

144827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80842 (or 80828 counting only the distinct ones).

The product of its digits is 344064, while the sum is 44.

The square root of 144827648 is about 12034.4359236318. The cubic root of 144827648 is about 525.1505515320.

The spelling of 144827648 in words is "one hundred forty-four million, eight hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 80819 161638 323276 565733 646552 1131466 1293104 2262932 2586208 4525864 5172416 9051728 10344832 18103456 20689664 36206912 72413824 144827648