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5440535100 = 22345271121361
BaseRepresentation
bin1010001000100011…
…11111101000111100
3112001011022211010000
411010101333220330
542120234110400
62255505314300
7251551533240
oct50421775074
915034284100
105440535100
112342049600
12107a035990
136891c3450
143987b8420
1521c975600
hex14447fa3c

5440535100 has 1080 divisors, whose sum is σ = 24249704864. Its totient is φ = 1026432000.

The previous prime is 5440535099. The next prime is 5440535101. The reversal of 5440535100 is 15350445.

It is an interprime number because it is at equal distance from previous prime (5440535099) and next prime (5440535101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440535101) 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 359 ways as a sum of consecutive naturals, for example, 89189070 + ... + 89189130.

Almost surely, 25440535100 is an apocalyptic number.

5440535100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440535100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12124852432).

5440535100 is an abundant number, since it is smaller than the sum of its proper divisors (18809169764).

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

5440535100 is a wasteful number, since it uses less digits than its factorization.

5440535100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5440535100 is about 73759.9830531434. The cubic root of 5440535100 is about 1758.7895322559.

Adding to 5440535100 its reverse (15350445), we get a palindrome (5455885545).

The spelling of 5440535100 in words is "five billion, four hundred forty million, five hundred thirty-five thousand, one hundred".