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84672441 = 32721011901
BaseRepresentation
bin1010000101111…
…11111110111001
312220022210202100
411002333332321
5133134004231
612222454013
72045463300
oct502777671
9186283670
1084672441
1143882727
1224434309
1314708049
14b361437
1576781e6
hex50bffb9

84672441 has 36 divisors (see below), whose sum is σ = 143756964. Its totient is φ = 47880000.

The previous prime is 84672409. The next prime is 84672443. The reversal of 84672441 is 14427648.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 38378025 = 6804^2 + 6195^2 .

It is not a de Polignac number, because 84672441 - 25 = 84672409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84672396 and 84672405.

It is not an unprimeable number, because it can be changed into a prime (84672443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43591 + ... + 45491.

It is an arithmetic number, because the mean of its divisors is an integer number (3993249).

Almost surely, 284672441 is an apocalyptic number.

It is an amenable number.

84672441 is a deficient number, since it is larger than the sum of its proper divisors (59084523).

84672441 is a wasteful number, since it uses less digits than its factorization.

84672441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2012 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 84672441 is about 9201.7629289175. The cubic root of 84672441 is about 439.1174475568.

The spelling of 84672441 in words is "eighty-four million, six hundred seventy-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 1901 2121 4949 5703 6363 13307 14847 17109 39921 44541 93149 119763 192001 279447 576003 838341 1344007 1728009 4032021 9408049 12096063 28224147 84672441