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82398141 = 36767241
BaseRepresentation
bin1001110100101…
…00101110111101
312202001021000000
410322110232331
5132043220031
612102024513
72020241550
oct472245675
9182037000
1082398141
1142569a41
1223718139
13140bcac7
14ad2c697
1573793e6
hex4e94bbd

82398141 has 56 divisors (see below), whose sum is σ = 143891264. Its totient is φ = 46189440.

The previous prime is 82398137. The next prime is 82398157. The reversal of 82398141 is 14189328.

It is not a de Polignac number, because 82398141 - 22 = 82398137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82398096 and 82398105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82398101) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 341781 + ... + 342021.

Almost surely, 282398141 is an apocalyptic number.

82398141 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82398141 is a deficient number, since it is larger than the sum of its proper divisors (61493123).

82398141 is an equidigital number, since it uses as much as digits as its factorization.

82398141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 82398141 is about 9077.3421770913. The cubic root of 82398141 is about 435.1501503065.

The spelling of 82398141 in words is "eighty-two million, three hundred ninety-eight thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 67 81 189 201 241 243 469 567 603 723 729 1407 1687 1701 1809 2169 4221 5061 5103 5427 6507 12663 15183 16147 16281 19521 37989 45549 48441 48843 58563 113029 113967 136647 145323 175689 339087 341901 409941 435969 1017261 1229823 1307907 3051783 3923721 9155349 11771163 27466047 82398141