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828760540 = 225172437531
BaseRepresentation
bin110001011001011…
…110000111011100
32010202110101201211
4301121132013130
53144130314130
6214123114204
726352230326
oct6131360734
92122411654
10828760540
113958a5073
121b1672964
1310291296a
147c0d4616
154cb58a2a
hex3165e1dc

828760540 has 24 divisors (see below), whose sum is σ = 1842774192. Its totient is φ = 312003840.

The previous prime is 828760519. The next prime is 828760549. The reversal of 828760540 is 45067828.

It is a super-2 number, since 2×8287605402 = 1373688065322183200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 828760493 and 828760502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828760549) 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, 1218426 + ... + 1219105.

It is an arithmetic number, because the mean of its divisors is an integer number (76782258).

Almost surely, 2828760540 is an apocalyptic number.

It is an amenable number.

828760540 is an abundant number, since it is smaller than the sum of its proper divisors (1014013652).

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

828760540 is a wasteful number, since it uses less digits than its factorization.

828760540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437557 (or 2437555 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 828760540 is about 28788.2014026580. The cubic root of 828760540 is about 939.3116055399.

The spelling of 828760540 in words is "eight hundred twenty-eight million, seven hundred sixty thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2437531 4875062 9750124 12187655 24375310 41438027 48750620 82876054 165752108 207190135 414380270 828760540