Search a number
-
+
82435896 = 23321398237
BaseRepresentation
bin1001110100111…
…01111100111000
312202010011210100
410322131330320
5132100422041
612102515400
72020456614
oct472357470
9182104710
1082435896
1142595344
1223735b60
131410404a
14ad3c344
1573856b6
hex4e9df38

82435896 has 48 divisors (see below), whose sum is σ = 224897400. Its totient is φ = 27277632.

The previous prime is 82435891. The next prime is 82435909. The reversal of 82435896 is 69853428.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82435891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5890 + ... + 14126.

Almost surely, 282435896 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 82435896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112448700).

82435896 is an abundant number, since it is smaller than the sum of its proper divisors (142461504).

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

82435896 is a wasteful number, since it uses less digits than its factorization.

82435896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8381 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 82435896 is about 9079.4215674788. The cubic root of 82435896 is about 435.2166023934.

The spelling of 82435896 in words is "eighty-two million, four hundred thirty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 8237 10008 16474 24711 32948 49422 65896 74133 98844 148266 197688 296532 593064 1144943 2289886 3434829 4579772 6869658 9159544 10304487 13739316 20608974 27478632 41217948 82435896