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8122842 = 2347131929
BaseRepresentation
bin11110111111000111011010
3120021200110000
4132333013122
54034412332
6450033430
7126020520
oct36770732
916250400
108122842
1146488a2
122878876
1318b5320
141116310
15aa6b7c
hex7bf1da

8122842 has 160 divisors (see below), whose sum is σ = 24393600. Its totient is φ = 1959552.

The previous prime is 8122819. The next prime is 8122843. The reversal of 8122842 is 2482218.

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

It is not an unprimeable number, because it can be changed into a prime (8122843) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 280084 + ... + 280112.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

Almost surely, 28122842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8122842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196800).

8122842 is an abundant number, since it is smaller than the sum of its proper divisors (16270758).

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

8122842 is a wasteful number, since it uses less digits than its factorization.

8122842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 8122842 is about 2850.0599993684. The cubic root of 8122842 is about 201.0184879408.

The spelling of 8122842 in words is "eight million, one hundred twenty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 29 38 39 42 54 57 58 63 78 81 87 91 114 117 126 133 162 171 174 182 189 203 234 247 261 266 273 342 351 377 378 399 406 494 513 522 546 551 567 609 702 741 754 783 798 819 1026 1053 1102 1131 1134 1197 1218 1482 1539 1566 1638 1653 1729 1827 2106 2223 2262 2349 2394 2457 2639 3078 3306 3393 3458 3591 3654 3857 4446 4698 4914 4959 5187 5278 5481 6669 6786 7163 7182 7371 7714 7917 9918 10179 10374 10773 10962 11571 13338 14326 14742 14877 15561 15834 16443 20007 20358 21489 21546 23142 23751 29754 30537 31122 32886 34713 40014 42978 44631 46683 47502 50141 61074 64467 69426 71253 89262 93366 100282 104139 128934 140049 142506 150423 193401 208278 213759 280098 300846 312417 386802 427518 451269 580203 624834 902538 1160406 1353807 2707614 4061421 8122842