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144526692 = 223194713487
BaseRepresentation
bin10001001110101…
…00110101100100
3101001221201100110
420213110311210
5243444323232
622201413020
73403312422
oct1047246544
9331851313
10144526692
1174644052
124049a170
1323c3386b
14152a2112
15ca4cacc
hex89d4d64

144526692 has 48 divisors (see below), whose sum is σ = 362557440. Its totient is φ = 44665632.

The previous prime is 144526663. The next prime is 144526703. The reversal of 144526692 is 296625441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144526692.

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 15 ways as a sum of consecutive naturals, for example, 3973 + ... + 17459.

It is an arithmetic number, because the mean of its divisors is an integer number (7553280).

Almost surely, 2144526692 is an apocalyptic number.

144526692 is a gapful number since it is divisible by the number (12) 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 144526692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181278720).

144526692 is an abundant number, since it is smaller than the sum of its proper divisors (218030748).

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

144526692 is a wasteful number, since it uses less digits than its factorization.

144526692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13560 (or 13558 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 144526692 is about 12021.9254697407. The cubic root of 144526692 is about 524.7865399783.

The spelling of 144526692 in words is "one hundred forty-four million, five hundred twenty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1786 2679 3572 5358 10716 13487 26974 40461 53948 80922 161844 256253 512506 633889 768759 1025012 1267778 1537518 1901667 2535556 3075036 3803334 7606668 12043891 24087782 36131673 48175564 72263346 144526692