Search a number
-
+
40129425 = 3452719149
BaseRepresentation
bin1001100100010…
…1001110010001
32210111210020000
42121011032101
540233120200
63552040213
7665044260
oct231051621
983453200
1040129425
1120719916
1211533069
13841072b
1454885d7
1537ca300
hex2645391

40129425 has 120 divisors (see below), whose sum is σ = 90024000. Its totient is φ = 17262720.

The previous prime is 40129391. The next prime is 40129433. The reversal of 40129425 is 52492104.

It is not a de Polignac number, because 40129425 - 211 = 40127377 is a prime.

It is a super-2 number, since 2×401294252 = 3220741501661250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 269251 + ... + 269399.

It is an arithmetic number, because the mean of its divisors is an integer number (750200).

Almost surely, 240129425 is an apocalyptic number.

40129425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40129425 is an abundant number, since it is smaller than the sum of its proper divisors (49894575).

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

40129425 is a wasteful number, since it uses less digits than its factorization.

40129425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40129425 is about 6334.7790016701. The cubic root of 40129425 is about 342.3636482838.

The spelling of 40129425 in words is "forty million, one hundred twenty-nine thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 81 95 105 133 135 149 171 175 189 225 285 315 399 405 447 475 513 525 567 665 675 745 855 945 1043 1197 1341 1425 1539 1575 1995 2025 2235 2565 2831 2835 3129 3325 3591 3725 4023 4275 4725 5215 5985 6705 7695 8493 9387 9975 10773 11175 12069 12825 14155 14175 15645 17955 19817 20115 25479 26075 28161 29925 33525 38475 42465 46935 53865 59451 60345 70775 76437 78225 84483 89775 99085 100575 127395 140805 178353 212325 229311 234675 269325 297255 301725 382185 422415 495425 535059 636975 704025 891765 1146555 1486275 1605177 1910925 2112075 2675295 4458825 5732775 8025885 13376475 40129425