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144917808 = 24373113913
BaseRepresentation
bin10001010001101…
…00010100110000
3101002200120212020
420220310110300
5244044332213
622214031440
73406531620
oct1050642460
9332616766
10144917808
1174890992
1240648580
132403c8a9
1415364880
15cac8923
hex8a34530

144917808 has 80 divisors (see below), whose sum is σ = 441686016. Its totient is φ = 40066560.

The previous prime is 144917771. The next prime is 144917827. The reversal of 144917808 is 808719441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 144917808.

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, 3460 + ... + 17372.

Almost surely, 2144917808 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 144917808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220843008).

144917808 is an abundant number, since it is smaller than the sum of its proper divisors (296768208).

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

144917808 is a wasteful number, since it uses less digits than its factorization.

144917808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13962 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 144917808 is about 12038.1812579808. The cubic root of 144917808 is about 525.2595034543.

The spelling of 144917808 in words is "one hundred forty-four million, nine hundred seventeen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 13913 27826 41739 55652 83478 97391 111304 166956 194782 222608 292173 333912 389564 431303 584346 667824 779128 862606 1168692 1293909 1558256 1725212 2337384 2587818 3019121 3450424 4674768 5175636 6038242 6900848 9057363 10351272 12076484 18114726 20702544 24152968 36229452 48305936 72458904 144917808