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55053600 = 25352729113
BaseRepresentation
bin1101001000000…
…0110100100000
310211121000100020
43102000310200
5103043203400
65243553440
71235643060
oct322006440
9124530306
1055053600
1129092648
121652b880
13b5376c4
1474513a0
154c772a0
hex3480d20

55053600 has 288 divisors, whose sum is σ = 213736320. Its totient is φ = 12042240.

The previous prime is 55053589. The next prime is 55053601. The reversal of 55053600 is 635055.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55053601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487144 + ... + 487256.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 255053600 is an apocalyptic number.

55053600 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 55053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

55053600 is an abundant number, since it is smaller than the sum of its proper divisors (158682720).

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

55053600 is a wasteful number, since it uses less digits than its factorization.

55053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 55053600 is about 7419.8113183557. The cubic root of 55053600 is about 380.4187443011.

Adding to 55053600 its reverse (635055), we get a palindrome (55688655).

The spelling of 55053600 in words is "fifty-five million, fifty-three thousand, six hundred".