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84198464 = 267226849
BaseRepresentation
bin1010000010011…
…00010001000000
312212102201120122
411001030101000
5133023322324
612204355412
72041450400
oct501142100
9185381518
1084198464
1143589609
1224245b68
13145a039c
14b27a800
1575d2a5e
hex504c440

84198464 has 42 divisors (see below), whose sum is σ = 194367150. Its totient is φ = 36083712.

The previous prime is 84198463. The next prime is 84198493. The reversal of 84198464 is 46489148.

It can be written as a sum of positive squares in only one way, i.e., 64128064 + 20070400 = 8008^2 + 4480^2 .

It is not an unprimeable number, because it can be changed into a prime (84198463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10289 + ... + 16560.

Almost surely, 284198464 is an apocalyptic number.

It is an amenable number.

84198464 is an abundant number, since it is smaller than the sum of its proper divisors (110168686).

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

84198464 is a wasteful number, since it uses less digits than its factorization.

84198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26875 (or 26858 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 84198464 is about 9175.9721010910. The cubic root of 84198464 is about 438.2965541708.

The spelling of 84198464 in words is "eighty-four million, one hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 26849 53698 107396 187943 214792 375886 429584 751772 859168 1315601 1503544 1718336 2631202 3007088 5262404 6014176 10524808 12028352 21049616 42099232 84198464