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554364144 = 243212730313
BaseRepresentation
bin100001000010101…
…110110011110000
31102122010121122100
4201002232303300
52113404123034
6131001540400
716511005665
oct4102566360
91378117570
10554364144
11264a18a94
121357a4700
138ab0aa29
14538a7a6c
1533a06099
hex210aecf0

554364144 has 60 divisors (see below), whose sum is σ = 1563717376. Its totient is φ = 183326976.

The previous prime is 554364137. The next prime is 554364247. The reversal of 554364144 is 441463455.

554364144 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 641 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 554364099 and 554364108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3132 + ... + 33444.

Almost surely, 2554364144 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 554364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781858688).

554364144 is an abundant number, since it is smaller than the sum of its proper divisors (1009353232).

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

554364144 is a wasteful number, since it uses less digits than its factorization.

554364144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30454 (or 30445 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 554364144 is about 23544.9388192027. The cubic root of 554364144 is about 821.4826161464.

The spelling of 554364144 in words is "five hundred fifty-four million, three hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 9144 18288 30313 60626 90939 121252 181878 242504 272817 363756 485008 545634 727512 1091268 1455024 2182536 3849751 4365072 7699502 11549253 15399004 23098506 30798008 34647759 46197012 61596016 69295518 92394024 138591036 184788048 277182072 554364144