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55056450 = 23522411523
BaseRepresentation
bin1101001000000…
…1100001000010
310211121011020210
43102001201002
5103043301300
65244014550
71235654301
oct322014102
9124534223
1055056450
11290947a9
1216531456
13b538aa7
147452438
154c78050
hex3481842

55056450 has 48 divisors (see below), whose sum is σ = 137196576. Its totient is φ = 14611200.

The previous prime is 55056427. The next prime is 55056451. The reversal of 55056450 is 5465055.

It is a super-3 number, since 3×550564503 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55056451) 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, 35389 + ... + 36911.

It is an arithmetic number, because the mean of its divisors is an integer number (2858262).

Almost surely, 255056450 is an apocalyptic number.

55056450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55056450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68598288).

55056450 is an abundant number, since it is smaller than the sum of its proper divisors (82140126).

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

55056450 is a wasteful number, since it uses less digits than its factorization.

55056450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 55056450 is about 7420.0033692715. The cubic root of 55056450 is about 380.4253086597.

The spelling of 55056450 in words is "fifty-five million, fifty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 241 482 723 1205 1446 1523 2410 3046 3615 4569 6025 7230 7615 9138 12050 15230 18075 22845 36150 38075 45690 76150 114225 228450 367043 734086 1101129 1835215 2202258 3670430 5505645 9176075 11011290 18352150 27528225 55056450