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2038268925 = 32527711
BaseRepresentation
bin111100101111101…
…1000001111111101
312021001100210022200
41321133120033331
513133244101200
6534131102113
7101340000000
oct17137301775
95231323280
102038268925
11956605680
1248a741939
13266385cb4
141549bb537
15bde21800
hex797d83fd

2038268925 has 144 divisors (see below), whose sum is σ = 4646428800. Its totient is φ = 847072800.

The previous prime is 2038268917. The next prime is 2038268927. The reversal of 2038268925 is 5298628302.

It is a happy number.

It is not a de Polignac number, because 2038268925 - 23 = 2038268917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038268927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 185297170 + ... + 185297180.

Almost surely, 22038268925 is an apocalyptic number.

2038268925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2038268925 is an abundant number, since it is smaller than the sum of its proper divisors (2608159875).

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

2038268925 is an frugal number, since it uses more digits than its factorization.

2038268925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2038268925 is about 45147.1917731325. The cubic root of 2038268925 is about 1267.9063039250.

The spelling of 2038268925 in words is "two billion, thirty-eight million, two hundred sixty-eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 49 55 63 75 77 99 105 147 165 175 225 231 245 275 315 343 385 441 495 525 539 693 735 825 1029 1155 1225 1575 1617 1715 1925 2205 2401 2475 2695 3087 3465 3675 3773 4851 5145 5775 7203 8085 8575 11025 11319 12005 13475 15435 16807 17325 18865 21609 24255 25725 26411 33957 36015 40425 50421 56595 60025 77175 79233 84035 94325 108045 117649 121275 132055 151263 169785 180075 184877 237699 252105 282975 352947 396165 420175 540225 554631 588245 660275 756315 823543 848925 924385 1058841 1188495 1260525 1294139 1663893 1764735 1980825 2470629 2773155 2941225 3781575 3882417 4117715 4621925 5294205 5942475 6470695 7411887 8319465 8823675 9058973 11647251 12353145 13865775 19412085 20588575 26471025 27176919 32353475 37059435 41597325 45294865 58236255 61765725 81530757 97060425 135884595 185297175 226474325 291181275 407653785 679422975 2038268925