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144799488 = 28346983
BaseRepresentation
bin10001010000101…
…11011100000000
3101002110120120000
420220113130000
5244032040423
622211320000
73405526641
oct1050273400
9332416500
10144799488
117480aaa9
12405b0000
1323ccaa92
14153336c8
15caa3843
hex8a17700

144799488 has 90 divisors (see below), whose sum is σ = 431827704. Its totient is φ = 48259584.

The previous prime is 144799477. The next prime is 144799493. The reversal of 144799488 is 884997441.

144799488 is a `hidden beast` number, since 1 + 4 + 479 + 94 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17245 + ... + 24227.

Almost surely, 2144799488 is an apocalyptic number.

144799488 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 144799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215913852).

144799488 is an abundant number, since it is smaller than the sum of its proper divisors (287028216).

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

144799488 is an frugal number, since it uses more digits than its factorization.

144799488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 6988 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 144799488 is about 12033.2658908544. The cubic root of 144799488 is about 525.1165129160.

The spelling of 144799488 in words is "one hundred forty-four million, seven hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 6983 10368 13966 20736 20949 27932 41898 55864 62847 83796 111728 125694 167592 188541 223456 251388 335184 377082 446912 502776 565623 670368 754164 893824 1005552 1131246 1340736 1508328 1787648 2011104 2262492 2681472 3016656 4022208 4524984 5362944 6033312 8044416 9049968 12066624 16088832 18099936 24133248 36199872 48266496 72399744 144799488