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82939311 = 327213172337
BaseRepresentation
bin1001111000110…
…00110110101111
312210001202100100
410330120312233
5132213024221
612121402143
72024654400
oct474306657
9183052310
1082939311
11428a9594
1223939353
131424c220
14b02d9a7
157434926
hex4f18daf

82939311 has 144 divisors (see below), whose sum is σ = 170299584. Its totient is φ = 38320128.

The previous prime is 82939301. The next prime is 82939319. The reversal of 82939311 is 11393928.

It is not a de Polignac number, because 82939311 - 27 = 82939183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82939319) 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, 2241585 + ... + 2241621.

It is an arithmetic number, because the mean of its divisors is an integer number (1182636).

Almost surely, 282939311 is an apocalyptic number.

82939311 is an abundant number, since it is smaller than the sum of its proper divisors (87360273).

82939311 is a wasteful number, since it uses less digits than its factorization.

82939311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 82939311 is about 9107.1022284808. The cubic root of 82939311 is about 436.1007240708.

The spelling of 82939311 in words is "eighty-two million, nine hundred thirty-nine thousand, three hundred eleven".

Divisors: 1 3 7 9 13 17 21 23 37 39 49 51 63 69 91 111 117 119 147 153 161 207 221 259 273 299 333 357 391 441 481 483 629 637 663 777 819 833 851 897 1071 1127 1173 1443 1449 1547 1813 1887 1911 1989 2093 2331 2499 2553 2691 2737 3367 3381 3519 4329 4403 4641 5083 5439 5661 5733 5957 6279 7497 7659 8177 8211 10101 10143 10829 11063 13209 13923 14467 14651 15249 16317 17871 18837 19159 23569 24531 24633 30303 30821 32487 33189 35581 39627 41699 43401 43953 45747 53613 57239 57477 70707 73593 77441 92463 97461 99567 101269 106743 125097 130203 131859 171717 172431 188071 212121 232323 249067 277389 303807 320229 375291 400673 515151 542087 564213 696969 708883 747201 911421 1202019 1316497 1626261 1692639 2126649 2241603 3606057 3949491 4878783 6379947 9215479 11848473 27646437 82939311