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5440252100 = 2252232981563
BaseRepresentation
bin1010001000100001…
…11010100011000100
3112001010210102220112
411010100322203010
542120201031400
62255455252152
7251546244203
oct50420724304
915033712815
105440252100
112341975a18
121079b1a058
136891246aa
1439874323a
1521c91b835
hex14443a8c4

5440252100 has 72 divisors (see below), whose sum is σ = 12743559360. Its totient is φ = 2009687680.

The previous prime is 5440252067. The next prime is 5440252109. The reversal of 5440252100 is 12520445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (5440252109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25919 + ... + 107481.

It is an arithmetic number, because the mean of its divisors is an integer number (176993880).

Almost surely, 25440252100 is an apocalyptic number.

5440252100 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 5440252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371779680).

5440252100 is an abundant number, since it is smaller than the sum of its proper divisors (7303307260).

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

5440252100 is a wasteful number, since it uses less digits than its factorization.

5440252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81629 (or 81622 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 5440252100 is about 73758.0646438069. The cubic root of 5440252100 is about 1758.7590361093.

Adding to 5440252100 its reverse (12520445), we get a palindrome (5452772545).

The spelling of 5440252100 in words is "five billion, four hundred forty million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 230 290 460 575 580 667 725 1150 1334 1450 2300 2668 2900 3335 6670 13340 16675 33350 66700 81563 163126 326252 407815 815630 1631260 1875949 2039075 2365327 3751898 4078150 4730654 7503796 8156300 9379745 9461308 11826635 18759490 23653270 37518980 46898725 47306540 54402521 59133175 93797450 108805042 118266350 187594900 217610084 236532700 272012605 544025210 1088050420 1360063025 2720126050 5440252100