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144826056 = 2336191307
BaseRepresentation
bin10001010000111…
…01111011001000
3101002111221000000
420220131323020
5244033413211
622212043000
73406000254
oct1050357310
9332457000
10144826056
1174828a61
1240603460
1324009bbb
141533d264
15caab656
hex8a1dec8

144826056 has 112 divisors (see below), whose sum is σ = 428893200. Its totient is φ = 45699552.

The previous prime is 144826027. The next prime is 144826057. The reversal of 144826056 is 650628441.

144826056 is a `hidden beast` number, since 1 + 4 + 48 + 2 + 605 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144826056.

It is not an unprimeable number, because it can be changed into a prime (144826057) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 110155 + ... + 111461.

Almost surely, 2144826056 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 144826056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214446600).

144826056 is an abundant number, since it is smaller than the sum of its proper divisors (284067144).

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

144826056 is a wasteful number, since it uses less digits than its factorization.

144826056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 144826056 is about 12034.3697799262. The cubic root of 144826056 is about 525.1486273074.

The spelling of 144826056 in words is "one hundred forty-four million, eight hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1307 1368 1458 1539 1944 2052 2614 2916 3078 3921 4104 4617 5228 5832 6156 7842 9234 10456 11763 12312 13851 15684 18468 23526 24833 27702 31368 35289 36936 47052 49666 55404 70578 74499 94104 99332 105867 110808 141156 148998 198664 211734 223497 282312 297996 317601 423468 446994 595992 635202 670491 846936 893988 952803 1270404 1340982 1787976 1905606 2011473 2540808 2681964 3811212 4022946 5363928 6034419 7622424 8045892 12068838 16091784 18103257 24137676 36206514 48275352 72413028 144826056