Base | Representation |
---|---|
bin | 1010000100101… |
… | …1110100011100 |
3 | 2221111201001000 |
4 | 2201023310130 |
5 | 41304103341 |
6 | 4105350300 |
7 | 1022102220 |
oct | 241136434 |
9 | 87451030 |
10 | 42253596 |
11 | 2193a830 |
12 | 12198390 |
13 | 89a5538 |
14 | 587c780 |
15 | 3a998b6 |
hex | 284bd1c |
42253596 has 96 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 10972800.
The previous prime is 42253579. The next prime is 42253597. The reversal of 42253596 is 69535224.
42253596 is a `hidden beast` number, since 42 + 25 + 3 + 596 = 666.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 42253596.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42253597) 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, 5776 + ... + 10856.
It is an arithmetic number, because the mean of its divisors is an integer number (1422960).
Almost surely, 242253596 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 42253596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).
42253596 is an abundant number, since it is smaller than the sum of its proper divisors (94350564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42253596 is a wasteful number, since it uses less digits than its factorization.
42253596 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5112 (or 5104 counting only the distinct ones).
The product of its digits is 64800, while the sum is 36.
The square root of 42253596 is about 6500.2766094990. The cubic root of 42253596 is about 348.3008694108.
42253596 divided by its sum of digits (36) gives a palindrome (1173711).
It can be divided in two parts, 42253 and 596, that added together give a square (42849 = 2072).
The spelling of 42253596 in words is "forty-two million, two hundred fifty-three thousand, five hundred ninety-six".
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