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84999948 = 223115871097
BaseRepresentation
bin1010001000011…
…11111100001100
312220221110000020
411010033330030
5133224444243
612233502140
72051326155
oct504177414
9186843006
1084999948
1143a867a0
1224571950
13147c1137
14b40892c
1576e0283
hex510ff0c

84999948 has 48 divisors (see below), whose sum is σ = 216929664. Its totient is φ = 25690240.

The previous prime is 84999931. The next prime is 84999979.

84999948 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84999891 and 84999900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76936 + ... + 78032.

It is an arithmetic number, because the mean of its divisors is an integer number (4519368).

Almost surely, 284999948 is an apocalyptic number.

It is an amenable number.

84999948 is an abundant number, since it is smaller than the sum of its proper divisors (131929716).

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

84999948 is a wasteful number, since it uses less digits than its factorization.

84999948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1700 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The square root of 84999948 is about 9219.5416371965. The cubic root of 84999948 is about 439.6828775550.

The spelling of 84999948 in words is "eighty-four million, nine hundred ninety-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 587 1097 1174 1761 2194 2348 3291 3522 4388 6457 6582 7044 12067 12914 13164 19371 24134 25828 36201 38742 48268 72402 77484 144804 643939 1287878 1931817 2575756 3863634 7083329 7727268 14166658 21249987 28333316 42499974 84999948