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828913098 = 2313173891607
BaseRepresentation
bin110001011010000…
…011010111001010
32010202202011000010
4301122003113022
53144200204343
6214130252350
726353434156
oct6132032712
92122664003
10828913098
11395999752
121b17270b6
13102967230
147c134066
154cb88d33
hex316835ca

828913098 has 64 divisors (see below), whose sum is σ = 1896410880. Its totient is φ = 239281152.

The previous prime is 828913091. The next prime is 828913139. The reversal of 828913098 is 890319828.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (828913091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515011 + ... + 516617.

It is an arithmetic number, because the mean of its divisors is an integer number (29631420).

Almost surely, 2828913098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828913098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948205440).

828913098 is an abundant number, since it is smaller than the sum of its proper divisors (1067497782).

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

828913098 is a wasteful number, since it uses less digits than its factorization.

828913098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031.

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 828913098 is about 28790.8509426172. The cubic root of 828913098 is about 939.3692380730.

The spelling of 828913098 in words is "eight hundred twenty-eight million, nine hundred thirteen thousand, ninety-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 389 442 663 778 1167 1326 1607 2334 3214 4821 5057 6613 9642 10114 13226 15171 19839 20891 27319 30342 39678 41782 54638 62673 81957 85969 125346 163914 171938 257907 355147 515814 625123 710294 1065441 1250246 1875369 2130882 3750738 8126599 10627091 16253198 21254182 24379797 31881273 48759594 63762546 138152183 276304366 414456549 828913098