Search a number
-
+
82274430 = 2357297577
BaseRepresentation
bin1001110011101…
…10100001111110
312201210222022010
410321312201332
5132030240210
612055232050
72016215100
oct471664176
9181728263
1082274430
1142494aa7
1223678626
13140786c4
14acd9570
157352920
hex4e7687e

82274430 has 96 divisors (see below), whose sum is σ = 232466976. Its totient is φ = 18579456.

The previous prime is 82274429. The next prime is 82274449. The reversal of 82274430 is 3447228.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142302 + ... + 142878.

It is an arithmetic number, because the mean of its divisors is an integer number (2421531).

Almost surely, 282274430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82274430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116233488).

82274430 is an abundant number, since it is smaller than the sum of its proper divisors (150192546).

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

82274430 is a wasteful number, since it uses less digits than its factorization.

82274430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 82274430 is about 9070.5253431100. The cubic root of 82274430 is about 434.9322658442.

The spelling of 82274430 in words is "eighty-two million, two hundred seventy-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 97 98 105 147 194 210 245 291 294 485 490 577 582 679 735 970 1154 1358 1455 1470 1731 2037 2885 2910 3395 3462 4039 4074 4753 5770 6790 8078 8655 9506 10185 12117 14259 17310 20195 20370 23765 24234 28273 28518 40390 47530 55969 56546 60585 71295 84819 111938 121170 141365 142590 167907 169638 279845 282730 335814 391783 424095 559690 783566 839535 848190 1175349 1679070 1958915 2350698 2742481 3917830 5484962 5876745 8227443 11753490 13712405 16454886 27424810 41137215 82274430