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82255338 = 23411311489
BaseRepresentation
bin1001110011100…
…01110111101010
312201210000010000
410321301313222
5132024132323
612055003430
72016105324
oct471616752
9181700100
1082255338
1142481720
1223669576
131406cac9
14acd2614
15734be43
hex4e71dea

82255338 has 80 divisors (see below), whose sum is σ = 207694080. Its totient is φ = 24105600.

The previous prime is 82255331. The next prime is 82255361. The reversal of 82255338 is 83355228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82255331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54498 + ... + 55986.

It is an arithmetic number, because the mean of its divisors is an integer number (2596176).

Almost surely, 282255338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82255338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103847040).

82255338 is an abundant number, since it is smaller than the sum of its proper divisors (125438742).

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

82255338 is a wasteful number, since it uses less digits than its factorization.

82255338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1536 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 82255338 is about 9069.4728623002. The cubic root of 82255338 is about 434.8986208457.

The spelling of 82255338 in words is "eighty-two million, two hundred fifty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 558 594 682 837 891 1023 1489 1674 1782 2046 2511 2978 3069 4467 5022 6138 8934 9207 13401 16379 18414 26802 27621 32758 40203 46159 49137 55242 80406 92318 98274 120609 138477 147411 241218 276954 294822 415431 442233 507749 830862 884466 1015498 1246293 1326699 1523247 2492586 2653398 3046494 3738879 4569741 7477758 9139482 13709223 27418446 41127669 82255338