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5506128 = 243238237
BaseRepresentation
bin10101000000010001010000
3101100201222200
4111000101100
52402144003
6314003200
764541565
oct25002120
911321880
105506128
113120921
121a16500
1311aa284
14a3486c
1573b6a3
hex540450

5506128 has 30 divisors (see below), whose sum is σ = 15409914. Its totient is φ = 1835328.

The previous prime is 5506103. The next prime is 5506129. The reversal of 5506128 is 8216055.

It can be written as a sum of positive squares in only one way, i.e., 4717584 + 788544 = 2172^2 + 888^2 .

It is a super-3 number, since 3×55061283 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18975 + ... + 19262.

Almost surely, 25506128 is an apocalyptic number.

It is an amenable number.

5506128 is an abundant number, since it is smaller than the sum of its proper divisors (9903786).

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

5506128 is a wasteful number, since it uses less digits than its factorization.

5506128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38251 (or 38242 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5506128 is about 2346.5140101862. The cubic root of 5506128 is about 176.5829499325.

The spelling of 5506128 in words is "five million, five hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 38237 76474 114711 152948 229422 305896 344133 458844 611792 688266 917688 1376532 1835376 2753064 5506128