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5505144 = 23317103131
BaseRepresentation
bin10101000000000001111000
3101100200122020
4111000001320
52402131034
6313554440
764535661
oct25000170
911320566
105505144
113120107
121a15a20
1311a99a8
14a34368
1573b249
hex540078

5505144 has 64 divisors (see below), whose sum is σ = 14826240. Its totient is φ = 1697280.

The previous prime is 5505139. The next prime is 5505151. The reversal of 5505144 is 4415055.

5505144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55051442 = 60613220921472, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41959 + ... + 42089.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 25505144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413120).

5505144 is an abundant number, since it is smaller than the sum of its proper divisors (9321096).

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

5505144 is a wasteful number, since it uses less digits than its factorization.

5505144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 5505144 is about 2346.3043280870. The cubic root of 5505144 is about 176.5724302609.

The spelling of 5505144 in words is "five million, five hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 103 131 136 204 206 262 309 393 408 412 524 618 786 824 1048 1236 1572 1751 2227 2472 3144 3502 4454 5253 6681 7004 8908 10506 13362 13493 14008 17816 21012 26724 26986 40479 42024 53448 53972 80958 107944 161916 229381 323832 458762 688143 917524 1376286 1835048 2752572 5505144