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82945962 = 232112511669
BaseRepresentation
bin1001111000110…
…10011110101010
312210002002110200
410330122132222
5132213232322
612121453030
72025012651
oct474323652
9183062420
1082945962
1142903590
1223941176
1314252268
14b032198
1574368ac
hex4f1a7aa

82945962 has 48 divisors (see below), whose sum is σ = 196953120. Its totient is φ = 25020000.

The previous prime is 82945949. The next prime is 82945969. The reversal of 82945962 is 26954928.

It is a super-2 number, since 2×829459622 = 13760065224210888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82945969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48864 + ... + 50532.

It is an arithmetic number, because the mean of its divisors is an integer number (4103190).

Almost surely, 282945962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82945962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98476560).

82945962 is an abundant number, since it is smaller than the sum of its proper divisors (114007158).

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

82945962 is a wasteful number, since it uses less digits than its factorization.

82945962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1936 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 82945962 is about 9107.4673757308. The cubic root of 82945962 is about 436.1123809009.

The spelling of 82945962 in words is "eighty-two million, nine hundred forty-five thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 251 502 753 1506 1669 2259 2761 3338 4518 5007 5522 8283 10014 15021 16566 18359 24849 30042 36718 49698 55077 110154 165231 330462 418919 837838 1256757 2513514 3770271 4608109 7540542 9216218 13824327 27648654 41472981 82945962