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84155648 = 28973389
BaseRepresentation
bin1010000010000…
…01110100000000
312212100112211212
411001001310000
5133020440043
612203425252
72041211513
oct501016400
9185315755
1084155648
114355a425
1224225228
1314586a55
14b268d7a
1575c5018
hex5041d00

84155648 has 36 divisors (see below), whose sum is σ = 169764420. Its totient is φ = 41631744.

The previous prime is 84155633. The next prime is 84155671. The reversal of 84155648 is 84655148.

It can be written as a sum of positive squares in 2 ways, for example, as 64513024 + 19642624 = 8032^2 + 4432^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 23138 + ... + 26526.

Almost surely, 284155648 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 84155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84882210).

84155648 is an abundant number, since it is smaller than the sum of its proper divisors (85608772).

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

84155648 is an equidigital number, since it uses as much as digits as its factorization.

84155648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3488 counting only the distinct ones).

The product of its digits is 153600, while the sum is 41.

The square root of 84155648 is about 9173.6387546055. The cubic root of 84155648 is about 438.2222484325. Note that the first 4 decimals are identical.

Subtracting 84155648 from its reverse (84655148), we obtain a triangular number (499500 = T999).

The spelling of 84155648 in words is "eighty-four million, one hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 3104 3389 6208 6778 12416 13556 24832 27112 54224 108448 216896 328733 433792 657466 867584 1314932 2629864 5259728 10519456 21038912 42077824 84155648