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81628425 = 3352314783
BaseRepresentation
bin1001101110110…
…00110100001001
312200121011011000
410313120310021
5131344102200
612033325213
72010554514
oct467306411
9180534130
1081628425
114209370a
1223406809
1313bb0658
14ababd7b
157276300
hex4dd8d09

81628425 has 96 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 40737600.

The previous prime is 81628423. The next prime is 81628429. The reversal of 81628425 is 52482618.

81628425 is a `hidden beast` number, since 8 + 1 + 628 + 4 + 25 = 666.

It is not a de Polignac number, because 81628425 - 21 = 81628423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 81628425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81628423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 983434 + ... + 983516.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 281628425 is an apocalyptic number.

It is an amenable number.

81628425 is a deficient number, since it is larger than the sum of its proper divisors (78361335).

81628425 is a wasteful number, since it uses less digits than its factorization.

81628425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 81628425 is about 9034.8450457105. The cubic root of 81628425 is about 433.7909350753.

It can be divided in two parts, 816 and 28425, that added together give a square (29241 = 1712).

The spelling of 81628425 in words is "eighty-one million, six hundred twenty-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 47 75 83 93 135 141 155 225 235 249 279 415 423 465 675 705 747 775 837 1175 1245 1269 1395 1457 2075 2115 2241 2325 2573 3525 3735 3901 4185 4371 6225 6345 6975 7285 7719 10575 11205 11703 12865 13113 18675 19505 20925 21855 23157 31725 35109 36425 38595 39339 56025 58515 64325 65565 69471 97525 105327 109275 115785 120931 175545 192975 196695 292575 327825 347355 362793 526635 578925 604655 877725 983475 1088379 1736775 1813965 2633175 3023275 3265137 5441895 9069825 16325685 27209475 81628425