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34482525 = 3527211853
BaseRepresentation
bin1000001110001…
…0100101011101
32101212220010120
42003202211131
532311420100
63231025153
7566045100
oct203424535
971786116
1034482525
1118512260
12b66b1b9
1371b437c
144818737
1530620a0
hex20e295d

34482525 has 72 divisors (see below), whose sum is σ = 72432864. Its totient is φ = 14313600.

The previous prime is 34482467. The next prime is 34482527. The reversal of 34482525 is 52528443.

It is not a de Polignac number, because 34482525 - 212 = 34478429 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34482527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39999 + ... + 40851.

It is an arithmetic number, because the mean of its divisors is an integer number (1006012).

Almost surely, 234482525 is an apocalyptic number.

34482525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34482525 is an abundant number, since it is smaller than the sum of its proper divisors (37950339).

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

34482525 is a wasteful number, since it uses less digits than its factorization.

34482525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 879 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 34482525 is about 5872.1823030284. The cubic root of 34482525 is about 325.4865296773.

The spelling of 34482525 in words is "thirty-four million, four hundred eighty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 385 525 539 735 825 853 1155 1225 1617 1925 2559 2695 3675 4265 5775 5971 8085 9383 12795 13475 17913 21325 28149 29855 40425 41797 46915 63975 65681 89565 125391 140745 149275 197043 208985 234575 328405 447825 459767 626955 703725 985215 1044925 1379301 1642025 2298835 3134775 4926075 6896505 11494175 34482525