Search a number
-
+
144929088 = 26359319
BaseRepresentation
bin10001010001101…
…11000101000000
3101002201011100000
420220313011000
5244100212323
622214200000
73406606533
oct1050670500
9332634300
10144929088
1174899407
1240653000
1324044a75
1415368a1a
15cacbe43
hex8a37140

144929088 has 84 divisors (see below), whose sum is σ = 430844960. Its totient is φ = 48304512.

The previous prime is 144929077. The next prime is 144929101. The reversal of 144929088 is 880929441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10893 + ... + 20211.

Almost surely, 2144929088 is an apocalyptic number.

144929088 is a gapful number since it is divisible by the number (18) 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 144929088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215422480).

144929088 is an abundant number, since it is smaller than the sum of its proper divisors (285915872).

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

144929088 is an frugal number, since it uses more digits than its factorization.

144929088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 144929088 is about 12038.6497581747. The cubic root of 144929088 is about 525.2731313481.

The spelling of 144929088 in words is "one hundred forty-four million, nine hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 9319 15552 18638 27957 37276 55914 74552 83871 111828 149104 167742 223656 251613 298208 335484 447312 503226 596416 670968 754839 894624 1006452 1341936 1509678 1789248 2012904 2264517 2683872 3019356 4025808 4529034 5367744 6038712 8051616 9058068 12077424 16103232 18116136 24154848 36232272 48309696 72464544 144929088