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104464431 = 3337531973
BaseRepresentation
bin1100011101000…
…00000000101111
321021120100021000
412032200000233
5203220330211
614211011343
72405635011
oct616400057
9237510230
10104464431
1153a70745
122ab99b53
1318847896
14dc341b1
159287656
hex63a002f

104464431 has 32 divisors (see below), whose sum is σ = 162025920. Its totient is φ = 66448512.

The previous prime is 104464429. The next prime is 104464447. The reversal of 104464431 is 134464401.

104464431 is a `hidden beast` number, since 10 + 4 + 4 + 644 + 3 + 1 = 666.

It is not a de Polignac number, because 104464431 - 21 = 104464429 is a prime.

It is a super-2 number, since 2×1044644312 = 21825634688307522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104464395 and 104464404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104460431) 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 31 ways as a sum of consecutive naturals, for example, 51961 + ... + 53933.

It is an arithmetic number, because the mean of its divisors is an integer number (5063310).

Almost surely, 2104464431 is an apocalyptic number.

104464431 is a deficient number, since it is larger than the sum of its proper divisors (57561489).

104464431 is a wasteful number, since it uses less digits than its factorization.

104464431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 104464431 is about 10220.7842654074. The cubic root of 104464431 is about 470.9659190724.

The spelling of 104464431 in words is "one hundred four million, four hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 53 111 159 333 477 999 1431 1961 1973 5883 5919 17649 17757 52947 53271 73001 104569 219003 313707 657009 941121 1971027 2823363 3869053 11607159 34821477 104464431