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144889856 = 211263269
BaseRepresentation
bin10001010001011…
…01100000000000
3101002122011111222
420220231200000
5244042433411
622213254212
73406354256
oct1050554000
9332564458
10144889856
1174871991
1240634368
132402cc57
14153585d6
15cac04db
hex8a2d800

144889856 has 48 divisors (see below), whose sum is σ = 291891600. Its totient is φ = 71901184.

The previous prime is 144889819. The next prime is 144889867. The reversal of 144889856 is 658988441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144889798 and 144889807.

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, 538490 + ... + 538758.

It is an arithmetic number, because the mean of its divisors is an integer number (6081075).

Almost surely, 2144889856 is an apocalyptic number.

144889856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144889856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145945800).

144889856 is an abundant number, since it is smaller than the sum of its proper divisors (147001744).

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

144889856 is an equidigital number, since it uses as much as digits as its factorization.

144889856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 534 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 53.

The square root of 144889856 is about 12037.0202292760. The cubic root of 144889856 is about 525.2257302926.

The spelling of 144889856 in words is "one hundred forty-four million, eight hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 263 269 512 526 538 1024 1052 1076 2048 2104 2152 4208 4304 8416 8608 16832 17216 33664 34432 67328 68864 70747 134656 137728 141494 269312 275456 282988 538624 550912 565976 1131952 2263904 4527808 9055616 18111232 36222464 72444928 144889856