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81228525 = 3527223312
BaseRepresentation
bin1001101011101…
…11001011101101
312122211211120220
410311313023231
5131243303100
612021001553
72004300600
oct465671355
9178754526
1081228525
1141940214
12232532b9
1313aa0621
14ab06337
1571e7aa0
hex4d772ed

81228525 has 108 divisors (see below), whose sum is σ = 168444576. Its totient is φ = 34372800.

The previous prime is 81228523. The next prime is 81228541. The reversal of 81228525 is 52582218.

It is not a de Polignac number, because 81228525 - 21 = 81228523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81228523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2620260 + ... + 2620290.

It is an arithmetic number, because the mean of its divisors is an integer number (1559672).

Almost surely, 281228525 is an apocalyptic number.

It is an amenable number.

81228525 is an abundant number, since it is smaller than the sum of its proper divisors (87216051).

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

81228525 is a wasteful number, since it uses less digits than its factorization.

81228525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 81228525 is about 9012.6868912661. The cubic root of 81228525 is about 433.0813903649.

The spelling of 81228525 in words is "eighty-one million, two hundred twenty-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 31 35 49 69 75 93 105 115 147 155 161 175 217 245 345 465 483 525 575 651 713 735 775 805 961 1085 1127 1225 1519 1725 2139 2325 2415 2883 3255 3381 3565 3675 4025 4557 4805 4991 5425 5635 6727 7595 10695 12075 14415 14973 16275 16905 17825 20181 22103 22785 24025 24955 28175 33635 34937 37975 47089 53475 66309 72075 74865 84525 100905 104811 110515 113925 124775 141267 154721 168175 174685 235445 331545 374325 464163 504525 524055 552575 706335 773605 873425 1083047 1177225 1657725 2320815 2620275 3249141 3531675 3868025 5415235 11604075 16245705 27076175 81228525