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84054208 = 2674547
BaseRepresentation
bin1010000001010…
…01000011000000
312212011101200211
411000221003000
5133004213313
612201323504
72040310000
oct500510300
9185141624
1084054208
11434a0197
1224196594
131454c824
14b240000
1575a4e3d
hex50290c0

84054208 has 70 divisors (see below), whose sum is σ = 194938396. Its totient is φ = 35957376.

The previous prime is 84054197. The next prime is 84054227. The reversal of 84054208 is 80245048.

It is a self number, because there is not a number n which added to its sum of digits gives 84054208.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 153391 + ... + 153937.

Almost surely, 284054208 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 84054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97469198).

84054208 is an abundant number, since it is smaller than the sum of its proper divisors (110884188).

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

84054208 is an frugal number, since it uses more digits than its factorization.

84054208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 84054208 is about 9168.1082018048. The cubic root of 84054208 is about 438.0461020536.

The spelling of 84054208 in words is "eighty-four million, fifty-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 547 686 784 1094 1372 1568 2188 2401 2744 3136 3829 4376 4802 5488 7658 8752 9604 10976 15316 17504 19208 21952 26803 30632 35008 38416 53606 61264 76832 107212 122528 153664 187621 214424 245056 375242 428848 750484 857696 1313347 1500968 1715392 2626694 3001936 5253388 6003872 10506776 12007744 21013552 42027104 84054208