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82477416 = 2337490937
BaseRepresentation
bin1001110101010…
…00000101101000
312202012021202010
410322220011220
5132103234131
612103435520
72021021640
oct472500550
9182167663
1082477416
114261355a
1223755ba0
1314119c08
14ad4d520
157392b46
hex4ea8168

82477416 has 32 divisors (see below), whose sum is σ = 235650240. Its totient is φ = 23564928.

The previous prime is 82477411. The next prime is 82477427. The reversal of 82477416 is 61477428.

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

It is not an unprimeable number, because it can be changed into a prime (82477411) 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, 245301 + ... + 245636.

It is an arithmetic number, because the mean of its divisors is an integer number (7364070).

Almost surely, 282477416 is an apocalyptic number.

It is an amenable number.

82477416 is an abundant number, since it is smaller than the sum of its proper divisors (153172824).

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

82477416 is a wasteful number, since it uses less digits than its factorization.

82477416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490953 (or 490949 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 82477416 is about 9081.7077689166. The cubic root of 82477416 is about 435.2896577867.

The spelling of 82477416 in words is "eighty-two million, four hundred seventy-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 490937 981874 1472811 1963748 2945622 3436559 3927496 5891244 6873118 10309677 11782488 13746236 20619354 27492472 41238708 82477416