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84618468 = 2232113161113
BaseRepresentation
bin1010000101100…
…10110011100100
312220020001201100
411002302303210
5133130242333
612221400100
72045150034
oct502626344
9186201640
1084618468
1143846120
1224409030
13146b95cc
14b3498c4
157667213
hex50b2ce4

84618468 has 144 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 24192000.

The previous prime is 84618467. The next prime is 84618487. The reversal of 84618468 is 86481648.

It is not an unprimeable number, because it can be changed into a prime (84618463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748780 + ... + 748892.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 284618468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84618468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

84618468 is an abundant number, since it is smaller than the sum of its proper divisors (162365724).

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

84618468 is a wasteful number, since it uses less digits than its factorization.

84618468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 84618468 is about 9198.8297081748. The cubic root of 84618468 is about 439.0241250884.

The spelling of 84618468 in words is "eighty-four million, six hundred eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 61 62 66 93 99 113 122 124 132 183 186 198 226 244 279 339 341 366 372 396 452 549 558 671 678 682 732 1017 1023 1098 1116 1243 1342 1356 1364 1891 2013 2034 2046 2196 2486 2684 3069 3503 3729 3782 4026 4068 4092 4972 5673 6039 6138 6893 7006 7458 7564 8052 10509 11187 11346 12078 12276 13786 14012 14916 17019 20679 20801 21018 22374 22692 24156 27572 31527 34038 38533 41358 41602 42036 44748 62037 62403 63054 68076 75823 77066 82716 83204 115599 124074 124806 126108 151646 154132 187209 213683 227469 231198 248148 249612 303292 346797 374418 427366 454938 462396 641049 682407 693594 748836 854732 909876 1282098 1364814 1387188 1923147 2350513 2564196 2729628 3846294 4701026 7051539 7692588 9402052 14103078 21154617 28206156 42309234 84618468