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554100100 = 2252291571217
BaseRepresentation
bin100001000001101…
…110010110000100
31102121122012102221
4201001232112010
52113322200400
6130552142124
716505526121
oct4101562604
91377565387
10554100100
11264858674
12135697944
138aa477a8
1453839748
15339a2c1a
hex2106e584

554100100 has 72 divisors (see below), whose sum is σ = 1252810440. Its totient is φ = 212459520.

The previous prime is 554100073. The next prime is 554100101. The reversal of 554100100 is 1001455.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 236975236 + 317124864 = 15394^2 + 17808^2 .

It is not an unprimeable number, because it can be changed into a prime (554100101) 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, 454692 + ... + 455908.

It is an arithmetic number, because the mean of its divisors is an integer number (17400145).

Almost surely, 2554100100 is an apocalyptic number.

554100100 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 554100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626405220).

554100100 is an abundant number, since it is smaller than the sum of its proper divisors (698710340).

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

554100100 is a wasteful number, since it uses less digits than its factorization.

554100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 554100100 is about 23539.3309165745. The cubic root of 554100100 is about 821.3521712002.

Adding to 554100100 its reverse (1001455), we get a palindrome (555101555).

The spelling of 554100100 in words is "five hundred fifty-four million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 157 290 314 580 628 725 785 1217 1450 1570 2434 2900 3140 3925 4553 4868 6085 7850 9106 12170 15700 18212 22765 24340 30425 35293 45530 60850 70586 91060 113825 121700 141172 176465 191069 227650 352930 382138 455300 705860 764276 882325 955345 1764650 1910690 3529300 3821380 4776725 5541001 9553450 11082002 19106900 22164004 27705005 55410010 110820020 138525025 277050050 554100100