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82969852 = 2274767941
BaseRepresentation
bin1001111001000…
…00010011111100
312210010022020111
410330200103330
5132220013402
612122155404
72025142420
oct474402374
9183108214
1082969852
114291a529
1223952b64
13142600b4
14b03ab80
15743d9d7
hex4f204fc

82969852 has 48 divisors (see below), whose sum is σ = 172182528. Its totient is φ = 34246080.

The previous prime is 82969849. The next prime is 82969867. The reversal of 82969852 is 25896928.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82969796 and 82969805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87702 + ... + 88642.

It is an arithmetic number, because the mean of its divisors is an integer number (3587136).

Almost surely, 282969852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82969852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86091264).

82969852 is an abundant number, since it is smaller than the sum of its proper divisors (89212676).

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

82969852 is a wasteful number, since it uses less digits than its factorization.

82969852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1064 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

The square root of 82969852 is about 9108.7788424135. The cubic root of 82969852 is about 436.1542464096.

The spelling of 82969852 in words is "eighty-two million, nine hundred sixty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 47 67 94 134 188 268 329 469 658 938 941 1316 1876 1882 3149 3764 6298 6587 12596 13174 22043 26348 44086 44227 63047 88172 88454 126094 176908 252188 309589 441329 619178 882658 1238356 1765316 2963209 5926418 11852836 20742463 41484926 82969852