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82945452 = 223232943241
BaseRepresentation
bin1001111000110…
…10010110101100
312210002001202210
410330122112230
5132213223302
612121450420
72025011322
oct474322654
9183061683
1082945452
1142903167
1223940a10
1314251c65
14b031d12
15743666c
hex4f1a5ac

82945452 has 96 divisors (see below), whose sum is σ = 214663680. Its totient is φ = 24837120.

The previous prime is 82945427. The next prime is 82945483. The reversal of 82945452 is 25454928.

It is a self number, because there is not a number n which added to its sum of digits gives 82945452.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344052 + ... + 344292.

It is an arithmetic number, because the mean of its divisors is an integer number (2236080).

Almost surely, 282945452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82945452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107331840).

82945452 is an abundant number, since it is smaller than the sum of its proper divisors (131718228).

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

82945452 is a wasteful number, since it uses less digits than its factorization.

82945452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 82945452 is about 9107.4393766854. The cubic root of 82945452 is about 436.1114870750. Note that the first 3 decimals are identical.

The spelling of 82945452 in words is "eighty-two million, nine hundred forty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 29 43 46 58 69 86 87 92 116 129 138 172 174 241 258 276 348 482 516 667 723 964 989 1247 1334 1446 1978 2001 2494 2668 2892 2967 3741 3956 4002 4988 5543 5934 6989 7482 8004 10363 11086 11868 13978 14964 16629 20726 20967 22172 27956 28681 31089 33258 41452 41934 57362 62178 66516 83868 86043 114724 124356 160747 172086 238349 300527 321494 344172 476698 482241 601054 642988 715047 901581 953396 964482 1202108 1430094 1803162 1928964 2860188 3606324 6912121 13824242 20736363 27648484 41472726 82945452