Search a number
-
+
144256392 = 233272311319
BaseRepresentation
bin10001001100100…
…10110110001000
3101001102222120100
420212102312020
5243412201032
622151525400
73401105400
oct1046226610
9331388510
10144256392
1174479a65
1240389860
1323b6a817
1415231800
15c9e797c
hex8992d88

144256392 has 144 divisors (see below), whose sum is σ = 469497600. Its totient is φ = 39856320.

The previous prime is 144256351. The next prime is 144256393. The reversal of 144256392 is 293652441.

It is a happy number.

144256392 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 563 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (144256393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108709 + ... + 110027.

It is an arithmetic number, because the mean of its divisors is an integer number (3260400).

Almost surely, 2144256392 is an apocalyptic number.

144256392 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 144256392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234748800).

144256392 is an abundant number, since it is smaller than the sum of its proper divisors (325241208).

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

144256392 is a wasteful number, since it uses less digits than its factorization.

144256392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1362 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 144256392 is about 12010.6782489583. The cubic root of 144256392 is about 524.4591764005.

The spelling of 144256392 in words is "one hundred forty-four million, two hundred fifty-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1319 1519 1736 1764 1953 2232 2604 2638 3038 3528 3906 3957 4557 5208 5276 6076 7812 7914 9114 9233 10552 11871 12152 13671 15624 15828 18228 18466 23742 27342 27699 31656 36456 36932 40889 47484 54684 55398 64631 73864 81778 83097 94968 109368 110796 122667 129262 163556 166194 193893 221592 245334 258524 286223 327112 332388 368001 387786 490668 517048 572446 581679 664776 736002 775572 858669 981336 1144892 1163358 1472004 1551144 1717338 2003561 2289784 2326716 2576007 2944008 3434676 4007122 4653432 5152014 6010683 6869352 8014244 10304028 12021366 16028488 18032049 20608056 24042732 36064098 48085464 72128196 144256392