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48200022 = 236132543
BaseRepresentation
bin1011011111011…
…1100101010110
310100200211000000
42313313211112
544314400042
64441032130
71123456563
oct267674526
9110624000
1048200022
1125231432
1214185646
139ca8030
14658986a
15437174c
hex2df7956

48200022 has 56 divisors (see below), whose sum is σ = 116784864. Its totient is φ = 14824944.

The previous prime is 48200021. The next prime is 48200029. The reversal of 48200022 is 22000284.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 48199968 and 48200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17683 + ... + 20225.

It is an arithmetic number, because the mean of its divisors is an integer number (2085444).

Almost surely, 248200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58392432).

48200022 is an abundant number, since it is smaller than the sum of its proper divisors (68584842).

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

48200022 is a wasteful number, since it uses less digits than its factorization.

48200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48200022 is about 6942.6235674995. The cubic root of 48200022 is about 363.9282302248.

The spelling of 48200022 in words is "forty-eight million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 2543 3159 5086 6318 7629 9477 15258 18954 22887 33059 45774 66118 68661 99177 137322 198354 205983 297531 411966 595062 617949 892593 1235898 1785186 1853847 2677779 3707694 5355558 8033337 16066674 24100011 48200022