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82471440 = 2435343631
BaseRepresentation
bin1001110101001…
…10101000010000
312202011222112210
410322212220100
5132103041230
612103352120
72020665342
oct472465020
9182158483
1082471440
114260a017
1223752640
131411728c
14ad4b292
157390eb0
hex4ea6a10

82471440 has 40 divisors (see below), whose sum is σ = 255662208. Its totient is φ = 21992320.

The previous prime is 82471423. The next prime is 82471453. The reversal of 82471440 is 4417428.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82471398 and 82471407.

It is an unprimeable number.

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, 171576 + ... + 172055.

Almost surely, 282471440 is an apocalyptic number.

82471440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82471440 is an abundant number, since it is smaller than the sum of its proper divisors (173190768).

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

82471440 is a wasteful number, since it uses less digits than its factorization.

82471440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343647 (or 343641 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 82471440 is about 9081.3787499476. The cubic root of 82471440 is about 435.2791443882.

Adding to 82471440 its reverse (4417428), we get a palindrome (86888868).

The spelling of 82471440 in words is "eighty-two million, four hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 343631 687262 1030893 1374524 1718155 2061786 2749048 3436310 4123572 5154465 5498096 6872620 8247144 10308930 13745240 16494288 20617860 27490480 41235720 82471440