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82248075 = 33527132103
BaseRepresentation
bin1001110011100…
…00000110001011
312201202122011000
410321300012023
5132023414300
612054510043
72016045210
oct471600613
9181678130
1082248075
1142477218
1223665323
1314069700
14accdb07
157349c00
hex4e7018b

82248075 has 144 divisors (see below), whose sum is σ = 188797440. Its totient is φ = 34369920.

The previous prime is 82248071. The next prime is 82248079. The reversal of 82248075 is 57084228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82248071) and next prime (82248079).

It is not a de Polignac number, because 82248075 - 22 = 82248071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82248071) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 798474 + ... + 798576.

Almost surely, 282248075 is an apocalyptic number.

82248075 is an abundant number, since it is smaller than the sum of its proper divisors (106549365).

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

82248075 is a wasteful number, since it uses less digits than its factorization.

82248075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82248075 is about 9069.0724443021. The cubic root of 82248075 is about 434.8858202108.

The spelling of 82248075 in words is "eighty-two million, two hundred forty-eight thousand, seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 103 105 117 135 169 175 189 195 225 273 309 315 325 351 455 507 515 525 585 675 721 819 845 927 945 975 1183 1339 1365 1521 1545 1575 1755 2163 2275 2457 2535 2575 2781 2925 3549 3605 4017 4095 4225 4563 4635 4725 5915 6489 6695 6825 7605 7725 8775 9373 10647 10815 12051 12285 12675 13905 17407 17745 18025 19467 20085 20475 22815 23175 28119 29575 31941 32445 33475 36153 38025 46865 52221 53235 54075 60255 61425 69525 84357 87035 88725 97335 100425 114075 121849 140595 156663 159705 162225 180765 234325 253071 261105 266175 301275 365547 421785 435175 469989 486675 609245 702975 783315 798525 903825 1096641 1265355 1305525 1827735 2108925 2349945 3046225 3289923 3916575 5483205 6326775 9138675 11749725 16449615 27416025 82248075