Search a number
-
+
5436026244 = 22321126951031
BaseRepresentation
bin1010001000000001…
…10010110110000100
3112000211211202010100
411010000302312010
542113110314434
62255224524100
7251465314005
oct50400626604
915024752110
105436026244
11233a549a80
121078620630
136882a509c
14397d631ac
1521c384699
hex144032d84

5436026244 has 72 divisors (see below), whose sum is σ = 15046274880. Its totient is φ = 1641124800.

The previous prime is 5436026243. The next prime is 5436026257. The reversal of 5436026244 is 4426206345.

5436026244 is a `hidden beast` number, since 5 + 4 + 3 + 602 + 6 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5436026199 and 5436026208.

It is not an unprimeable number, because it can be changed into a prime (5436026243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81009 + ... + 132039.

It is an arithmetic number, because the mean of its divisors is an integer number (208976040).

Almost surely, 25436026244 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 5436026244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523137440).

5436026244 is an abundant number, since it is smaller than the sum of its proper divisors (9610248636).

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

5436026244 is a wasteful number, since it uses less digits than its factorization.

5436026244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51321 (or 51316 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5436026244 is about 73729.4123399882. The cubic root of 5436026244 is about 1758.3035310138.

The spelling of 5436026244 in words is "five billion, four hundred thirty-six million, twenty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 269 396 538 807 1076 1614 2421 2959 3228 4842 5918 8877 9684 11836 17754 26631 35508 51031 53262 102062 106524 153093 204124 306186 459279 561341 612372 918558 1122682 1684023 1837116 2245364 3368046 5052069 6736092 10104138 13727339 20208276 27454678 41182017 54909356 82364034 123546051 151000729 164728068 247092102 302001458 453002187 494184204 604002916 906004374 1359006561 1812008748 2718013122 5436026244