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144975872 = 211292441
BaseRepresentation
bin10001010010000…
…10100000000000
3101002210112111202
420221002200000
5244103211442
622215200332
73410163116
oct1051024000
9332715452
10144975872
1174920578
12406760a8
1324060152
141537bab6
15cadac32
hex8a42800

144975872 has 48 divisors (see below), whose sum is σ = 299999700. Its totient is φ = 69959680.

The previous prime is 144975869. The next prime is 144975907. The reversal of 144975872 is 278579441.

It can be written as a sum of positive squares in 2 ways, for example, as 137921536 + 7054336 = 11744^2 + 2656^2 .

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, 58172 + ... + 60612.

Almost surely, 2144975872 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 144975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149999850).

144975872 is an abundant number, since it is smaller than the sum of its proper divisors (155023828).

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

144975872 is an equidigital number, since it uses as much as digits as its factorization.

144975872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2472 counting only the distinct ones).

The product of its digits is 564480, while the sum is 47.

The square root of 144975872 is about 12040.5926764425. The cubic root of 144975872 is about 525.3296457321.

The spelling of 144975872 in words is "one hundred forty-four million, nine hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 2441 3712 4882 7424 9764 14848 19528 29696 39056 59392 70789 78112 141578 156224 283156 312448 566312 624896 1132624 1249792 2265248 2499584 4530496 4999168 9060992 18121984 36243968 72487936 144975872