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828280047 = 3739441907
BaseRepresentation
bin110001010111101…
…000110011101111
32010201112222121210
4301113220303233
53144014430142
6214104525503
726345156430
oct6127506357
92121488553
10828280047
113955a7071
121b1480893
131027a504a
147c00b487
154cab149c
hex315e8cef

828280047 has 8 divisors (see below), whose sum is σ = 1262141056. Its totient is φ = 473302872.

The previous prime is 828280043. The next prime is 828280051. The reversal of 828280047 is 740082828.

It is an interprime number because it is at equal distance from previous prime (828280043) and next prime (828280051).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 828280047 - 22 = 828280043 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 828279987 and 828280014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828280043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19720933 + ... + 19720974.

It is an arithmetic number, because the mean of its divisors is an integer number (157767632).

Almost surely, 2828280047 is an apocalyptic number.

828280047 is a deficient number, since it is larger than the sum of its proper divisors (433861009).

828280047 is a wasteful number, since it uses less digits than its factorization.

828280047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39441917.

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 828280047 is about 28779.8548814965. The cubic root of 828280047 is about 939.1300412717.

It can be divided in two parts, 828 and 280047, that added together give a triangular number (280875 = T749).

The spelling of 828280047 in words is "eight hundred twenty-eight million, two hundred eighty thousand, forty-seven".

Divisors: 1 3 7 21 39441907 118325721 276093349 828280047