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82622484 = 22337293373
BaseRepresentation
bin1001110110010…
…11100000010100
312202110122202000
410323023200110
5132122404414
612110515300
72022164610
oct473134024
9182418660
1082622484
114270254a
1223805b30
131416ac59
14ad8a340
1573c0b09
hex4ecb814

82622484 has 96 divisors (see below), whose sum is σ = 246301440. Its totient is φ = 23462784.

The previous prime is 82622483. The next prime is 82622497. The reversal of 82622484 is 48422628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82622483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221322 + ... + 221694.

It is an arithmetic number, because the mean of its divisors is an integer number (2565640).

Almost surely, 282622484 is an apocalyptic number.

82622484 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82622484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123150720).

82622484 is an abundant number, since it is smaller than the sum of its proper divisors (163678956).

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

82622484 is a wasteful number, since it uses less digits than its factorization.

82622484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 82622484 is about 9089.6910838598. The cubic root of 82622484 is about 435.5447159461.

The spelling of 82622484 in words is "eighty-two million, six hundred twenty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 293 373 378 586 746 756 879 1119 1172 1492 1758 2051 2238 2611 2637 3357 3516 4102 4476 5222 5274 6153 6714 7833 7911 8204 10071 10444 10548 12306 13428 15666 15822 18459 20142 23499 24612 31332 31644 36918 40284 46998 55377 70497 73836 93996 109289 110754 140994 218578 221508 281988 327867 437156 655734 765023 983601 1311468 1530046 1967202 2295069 2950803 3060092 3934404 4590138 5901606 6885207 9180276 11803212 13770414 20655621 27540828 41311242 82622484