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82300725 = 33521383113
BaseRepresentation
bin1001110011111…
…00111100110101
312201212022101000
410321330330311
5132032110400
612055553513
72016354543
oct471747465
9181768330
1082300725
1142502831
122368b899
1314087670
14ad04d93
15735a600
hex4e7cf35

82300725 has 96 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 39674880.

The previous prime is 82300721. The next prime is 82300733. The reversal of 82300725 is 52700328.

It is not a de Polignac number, because 82300725 - 22 = 82300721 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82300721) 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 95 ways as a sum of consecutive naturals, for example, 728269 + ... + 728381.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 282300725 is an apocalyptic number.

It is an amenable number.

82300725 is an abundant number, since it is smaller than the sum of its proper divisors (83938635).

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

82300725 is a wasteful number, since it uses less digits than its factorization.

82300725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 82300725 is about 9071.9747023457. The cubic root of 82300725 is about 434.9785958553.

The spelling of 82300725 in words is "eighty-two million, three hundred thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 83 113 117 135 195 225 249 325 339 351 415 565 585 675 747 975 1017 1079 1245 1469 1695 1755 2075 2241 2825 2925 3051 3237 3735 4407 5085 5395 6225 7345 8475 8775 9379 9711 11205 13221 15255 16185 18675 22035 25425 26975 28137 29133 36725 39663 46895 48555 56025 66105 76275 80925 84411 110175 121927 140685 145665 198315 234475 242775 253233 330525 365781 422055 609635 703425 728325 991575 1097343 1266165 1828905 2110275 3048175 3292029 5486715 6330825 9144525 16460145 27433575 82300725