Search a number
-
+
83212192 = 257253069
BaseRepresentation
bin1001111010110…
…11011110100000
312210120121200001
410331123132200
5132300242232
612131305344
72030202100
oct475333640
9183517601
1083212192
1142a75608
1223a4b254
13143164ab
14b0a1200
15748a6e7
hex4f5b7a0

83212192 has 36 divisors (see below), whose sum is σ = 190574370. Its totient is φ = 35661696.

The previous prime is 83212187. The next prime is 83212193. The reversal of 83212192 is 29121238.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 36917776 = 6804^2 + 6076^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 83212192.

It is not an unprimeable number, because it can be changed into a prime (83212193) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24967 + ... + 28102.

Almost surely, 283212192 is an apocalyptic number.

It is an amenable number.

83212192 is an abundant number, since it is smaller than the sum of its proper divisors (107362178).

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

83212192 is a wasteful number, since it uses less digits than its factorization.

83212192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53093 (or 53078 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 83212192 is about 9122.0716945220. The cubic root of 83212192 is about 436.5784763208.

The spelling of 83212192 in words is "eighty-three million, two hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 53069 106138 212276 371483 424552 742966 849104 1485932 1698208 2600381 2971864 5200762 5943728 10401524 11887456 20803048 41606096 83212192