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81414424 = 23713111833
BaseRepresentation
bin1001101101001…
…00100100011000
312200012021121001
410312210210120
5131320230144
612024554344
72006003560
oct466444430
9180167531
1081414424
1141a57953
12233229b4
1313b37120
14ab53da0
157232bd4
hex4da4918

81414424 has 32 divisors (see below), whose sum is σ = 187881120. Its totient is φ = 32207616.

The previous prime is 81414409. The next prime is 81414427. The reversal of 81414424 is 42441418.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 81414392 and 81414401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81414427) 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, 55189 + ... + 56644.

It is an arithmetic number, because the mean of its divisors is an integer number (5871285).

Almost surely, 281414424 is an apocalyptic number.

It is an amenable number.

81414424 is an abundant number, since it is smaller than the sum of its proper divisors (106466696).

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

81414424 is a wasteful number, since it uses less digits than its factorization.

81414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111859 (or 111855 counting only the distinct ones).

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

The square root of 81414424 is about 9022.9941815342. The cubic root of 81414424 is about 433.4115209343.

It can be divided in two parts, 81 and 414424, that added together give a triangular number (414505 = T910).

The spelling of 81414424 in words is "eighty-one million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 111833 223666 447332 782831 894664 1453829 1565662 2907658 3131324 5815316 6262648 10176803 11630632 20353606 40707212 81414424