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84200248 = 23111950359
BaseRepresentation
bin1010000010011…
…00101100111000
312212102211000201
411001030230320
5133023401443
612204411544
72041455526
oct501145470
9185384021
1084200248
114358a990
1224246bb4
13145a1142
14b27b316
1575d334d
hex504cb38

84200248 has 32 divisors (see below), whose sum is σ = 181296000. Its totient is φ = 36257760.

The previous prime is 84200243. The next prime is 84200251.

84200248 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84200243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23508 + ... + 26851.

It is an arithmetic number, because the mean of its divisors is an integer number (5665500).

Almost surely, 284200248 is an apocalyptic number.

84200248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84200248 is an abundant number, since it is smaller than the sum of its proper divisors (97095752).

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

84200248 is a wasteful number, since it uses less digits than its factorization.

84200248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50395 (or 50391 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 84200248 is about 9176.0693109850. The cubic root of 84200248 is about 438.2996496965.

It can be divided in two parts, 84200 and 248, that added together give a palindrome (84448).

The spelling of 84200248 in words is "eighty-four million, two hundred thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 50359 100718 201436 402872 553949 956821 1107898 1913642 2215796 3827284 4431592 7654568 10525031 21050062 42100124 84200248