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82411290 = 23351353443
BaseRepresentation
bin1001110100101…
…11111100011010
312202001221001000
410322113330122
5132044130130
612102205430
72020325103
oct472277432
9182057030
1082411290
1142578905
1223723876
13140c5aa0
14ad333aa
15737d260
hex4e97f1a

82411290 has 128 divisors (see below), whose sum is σ = 241678080. Its totient is φ = 19858176.

The previous prime is 82411283. The next prime is 82411309. The reversal of 82411290 is 9211428.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185809 + ... + 186251.

It is an arithmetic number, because the mean of its divisors is an integer number (1888110).

Almost surely, 282411290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82411290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

82411290 is an abundant number, since it is smaller than the sum of its proper divisors (159266790).

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

82411290 is a wasteful number, since it uses less digits than its factorization.

82411290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82411290 is about 9078.0664240795. The cubic root of 82411290 is about 435.1732959945.

The spelling of 82411290 in words is "eighty-two million, four hundred eleven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 53 54 65 78 90 106 117 130 135 159 195 234 265 270 318 351 390 443 477 530 585 689 702 795 886 954 1170 1329 1378 1431 1590 1755 2067 2215 2385 2658 2862 3445 3510 3987 4134 4430 4770 5759 6201 6645 6890 7155 7974 10335 11518 11961 12402 13290 14310 17277 18603 19935 20670 23479 23922 28795 31005 34554 37206 39870 46958 51831 57590 59805 62010 70437 86385 93015 103662 117395 119610 140874 155493 172770 186030 211311 234790 259155 305227 310986 352185 422622 518310 610454 633933 704370 777465 915681 1056555 1267866 1526135 1554930 1831362 2113110 2747043 3052270 3169665 4578405 5494086 6339330 8241129 9156810 13735215 16482258 27470430 41205645 82411290