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84220461 = 3213719833
BaseRepresentation
bin1010000010100…
…01101000101101
312212110211202100
411001101220231
5133030023321
612205045313
72041601463
oct501215055
9185424670
1084220461
11435a4096
1224256839
13145aa3c0
14b284833
1575d9326
hex5051a2d

84220461 has 12 divisors (see below), whose sum is σ = 131009788. Its totient is φ = 51827904.

The previous prime is 84220453. The next prime is 84220463. The reversal of 84220461 is 16402248.

It can be written as a sum of positive squares in 2 ways, for example, as 55800900 + 28419561 = 7470^2 + 5331^2 .

It is not a de Polignac number, because 84220461 - 23 = 84220453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84220463) 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 11 ways as a sum of consecutive naturals, for example, 359800 + ... + 360033.

Almost surely, 284220461 is an apocalyptic number.

It is an amenable number.

84220461 is a deficient number, since it is larger than the sum of its proper divisors (46789327).

84220461 is a wasteful number, since it uses less digits than its factorization.

84220461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719852 (or 719849 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84220461 is about 9177.1706424148. The cubic root of 84220461 is about 438.3347194348.

It can be divided in two parts, 84220 and 461, that added together give a square (84681 = 2912).

The spelling of 84220461 in words is "eighty-four million, two hundred twenty thousand, four hundred sixty-one".

Divisors: 1 3 9 13 39 117 719833 2159499 6478497 9357829 28073487 84220461