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84948984 = 23321179847
BaseRepresentation
bin1010001000000…
…11011111111000
312220211212002200
411010003133320
5133221331414
612232430200
72051024451
oct504033770
9186755080
1084948984
1143a5147a
1224548360
13147a3b93
14b3d4128
1576d0109
hex51037f8

84948984 has 24 divisors (see below), whose sum is σ = 230070360. Its totient is φ = 28316304.

The previous prime is 84948977. The next prime is 84948989. The reversal of 84948984 is 48984948.

84948984 is a `hidden beast` number, since 84 + 9 + 489 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84948984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84948989) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 589852 + ... + 589995.

It is an arithmetic number, because the mean of its divisors is an integer number (9586265).

Almost surely, 284948984 is an apocalyptic number.

It is an amenable number.

84948984 is an abundant number, since it is smaller than the sum of its proper divisors (145121376).

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

84948984 is a wasteful number, since it uses less digits than its factorization.

84948984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179859 (or 1179852 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 84948984 is about 9216.7773109694. Note that the first 3 decimals coincide. The cubic root of 84948984 is about 439.5949854302.

The spelling of 84948984 in words is "eighty-four million, nine hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1179847 2359694 3539541 4719388 7079082 9438776 10618623 14158164 21237246 28316328 42474492 84948984