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82937394 = 232191971231
BaseRepresentation
bin1001111000110…
…00011000110010
312210001122201100
410330120120302
5132212444034
612121345230
72024645661
oct474303062
9183048640
1082937394
11428a8101
1223938216
131424b3a7
14b02cdd8
157434099
hex4f18632

82937394 has 48 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 26036640.

The previous prime is 82937389. The next prime is 82937447. The reversal of 82937394 is 49373928.

It is a happy number.

It is a super-2 number, since 2×829373942 = 13757222647022472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66759 + ... + 67989.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 282937394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82937394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

82937394 is an abundant number, since it is smaller than the sum of its proper divisors (107332686).

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

82937394 is a wasteful number, since it uses less digits than its factorization.

82937394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1452 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 82937394 is about 9106.9969803443. The cubic root of 82937394 is about 436.0973641380.

The spelling of 82937394 in words is "eighty-two million, nine hundred thirty-seven thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 197 342 394 591 1182 1231 1773 2462 3546 3693 3743 7386 7486 11079 11229 22158 22458 23389 33687 46778 67374 70167 140334 210501 242507 421002 485014 727521 1455042 2182563 4365126 4607633 9215266 13822899 27645798 41468697 82937394