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81388125 = 335471353
BaseRepresentation
bin1001101100111…
…10001001011101
312200010221112000
410312132021131
5131313410000
612024232513
72005534110
oct466361135
9180127460
1081388125
1141a3a115
122330b739
1313b28170
14ab48577
15722a000
hex4d9e25d

81388125 has 160 divisors (see below), whose sum is σ = 188939520. Its totient is φ = 33696000.

The previous prime is 81388103. The next prime is 81388147. The reversal of 81388125 is 52188318.

It is an interprime number because it is at equal distance from previous prime (81388103) and next prime (81388147).

It is not a de Polignac number, because 81388125 - 25 = 81388093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 81388125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1535599 + ... + 1535651.

It is an arithmetic number, because the mean of its divisors is an integer number (1180872).

Almost surely, 281388125 is an apocalyptic number.

It is an amenable number.

81388125 is an abundant number, since it is smaller than the sum of its proper divisors (107551395).

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

81388125 is a wasteful number, since it uses less digits than its factorization.

81388125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 81388125 is about 9021.5367316217. The cubic root of 81388125 is about 433.3648481353.

The spelling of 81388125 in words is "eighty-one million, three hundred eighty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 53 63 65 75 91 105 117 125 135 159 175 189 195 225 265 273 315 325 351 371 375 455 477 525 585 625 675 689 795 819 875 945 975 1113 1125 1325 1365 1431 1575 1625 1755 1855 1875 2067 2275 2385 2457 2625 2925 3339 3375 3445 3975 4095 4375 4725 4823 4875 5565 5625 6201 6625 6825 7155 7875 8125 8775 9275 10017 10335 11375 11925 12285 13125 14469 14625 16695 16875 17225 18603 19875 20475 23625 24115 24375 27825 31005 33125 34125 35775 39375 43407 43875 46375 50085 51675 56875 59625 61425 72345 73125 83475 86125 93015 99375 102375 118125 120575 130221 139125 155025 170625 178875 217035 219375 231875 250425 258375 298125 307125 361725 417375 430625 465075 511875 602875 651105 695625 775125 894375 1085175 1252125 1291875 1535625 1808625 2086875 2325375 3014375 3255525 3875625 5425875 6260625 9043125 11626875 16277625 27129375 81388125