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828716772 = 2231323230969
BaseRepresentation
bin110001011001010…
…011011011100100
32010202101011200210
4301121103123210
53144122414042
6214122135420
726351655612
oct6131233344
92122334623
10828716772
113958751a4
121b1651570
131028c8a70
147c0c26b2
154cb4aa9c
hex316536e4

828716772 has 48 divisors (see below), whose sum is σ = 2172965760. Its totient is φ = 243902208.

The previous prime is 828716771. The next prime is 828716809. The reversal of 828716772 is 277617828.

It is a happy number.

828716772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (828716771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111897 + ... + 119072.

It is an arithmetic number, because the mean of its divisors is an integer number (45270120).

Almost surely, 2828716772 is an apocalyptic number.

It is an amenable number.

828716772 is an abundant number, since it is smaller than the sum of its proper divisors (1344248988).

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

828716772 is a wasteful number, since it uses less digits than its factorization.

828716772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231012 (or 231010 counting only the distinct ones).

The product of its digits is 526848, while the sum is 48.

The square root of 828716772 is about 28787.4412200876. The cubic root of 828716772 is about 939.2950697968.

The spelling of 828716772 in words is "eight hundred twenty-eight million, seven hundred sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 230969 461938 692907 923876 1385814 2771628 3002597 5312287 6005194 9007791 10624574 12010388 15936861 18015582 21249148 31873722 36031164 63747444 69059731 138119462 207179193 276238924 414358386 828716772