Search a number
-
+
82412080 = 2454323957
BaseRepresentation
bin1001110100110…
…00001000110000
312202001222010021
410322120020300
5132044141310
612102213224
72020330312
oct472301060
9182058107
1082412080
1142579463
1223724214
13140c625a
14ad337b2
15737d5da
hex4e98230

82412080 has 40 divisors (see below), whose sum is σ = 196072272. Its totient is φ = 32196864.

The previous prime is 82412053. The next prime is 82412081. The reversal of 82412080 is 8021428.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (82412081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8539 + ... + 15418.

Almost surely, 282412080 is an apocalyptic number.

82412080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82412080 is an abundant number, since it is smaller than the sum of its proper divisors (113660192).

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

82412080 is a wasteful number, since it uses less digits than its factorization.

82412080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24013 (or 24007 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 82412080 is about 9078.1099354436. The cubic root of 82412080 is about 435.1746865233.

The spelling of 82412080 in words is "eighty-two million, four hundred twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 23957 47914 95828 119785 191656 239570 383312 479140 958280 1030151 1916560 2060302 4120604 5150755 8241208 10301510 16482416 20603020 41206040 82412080