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1042401500 = 225372157271
BaseRepresentation
bin111110001000011…
…100100011011100
32200122110111000222
4332020130203130
54113323322000
6251234140512
734555160300
oct7610344334
92618414028
101042401500
11495454748
12251121738
13137c64b2a
149c627d00
15617a9a85
hex3e21c8dc

1042401500 has 144 divisors (see below), whose sum is σ = 2674998144. Its totient is φ = 353808000.

The previous prime is 1042401497. The next prime is 1042401539. The reversal of 1042401500 is 51042401.

1042401500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3846365 + ... + 3846635.

It is an arithmetic number, because the mean of its divisors is an integer number (18576376).

Almost surely, 21042401500 is an apocalyptic number.

1042401500 is a gapful number since it is divisible by the number (10) 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 1042401500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337499072).

1042401500 is an abundant number, since it is smaller than the sum of its proper divisors (1632596644).

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

1042401500 is a wasteful number, since it uses less digits than its factorization.

1042401500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1042401500 is about 32286.2432004716. The cubic root of 1042401500 is about 1013.9386448202.

Adding to 1042401500 its reverse (51042401), we get a palindrome (1093443901).

The spelling of 1042401500 in words is "one billion, forty-two million, four hundred one thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 157 175 196 245 250 271 314 350 490 500 542 628 700 785 875 980 1084 1099 1225 1355 1570 1750 1897 2198 2450 2710 3140 3500 3794 3925 4396 4900 5420 5495 6125 6775 7588 7693 7850 9485 10990 12250 13279 13550 15386 15700 18970 19625 21980 24500 26558 27100 27475 30772 33875 37940 38465 39250 42547 47425 53116 54950 66395 67750 76930 78500 85094 94850 109900 132790 135500 137375 153860 170188 189700 192325 212735 237125 265580 274750 297829 331975 384650 425470 474250 549500 595658 663950 769300 850940 948500 961625 1063675 1191316 1327900 1489145 1659875 1923250 2084803 2127350 2978290 3319750 3846500 4169606 4254700 5318375 5956580 6639500 7445725 8339212 10424015 10636750 14891450 20848030 21273500 29782900 37228625 41696060 52120075 74457250 104240150 148914500 208480300 260600375 521200750 1042401500