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554042016 = 25321147612
BaseRepresentation
bin100001000001100…
…000001010100000
31102121112020202200
4201001200022200
52113313321031
6130551013200
716505164563
oct4101401240
91377466680
10554042016
11264818a70
1213566a200
138aa27218
14538224da
15339908e6
hex210602a0

554042016 has 216 divisors, whose sum is σ = 1784607552. Its totient is φ = 161625600.

The previous prime is 554042011. The next prime is 554042017. The reversal of 554042016 is 610240455.

554042016 is a `hidden beast` number, since 55 + 404 + 201 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (554042011) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9082626 + ... + 9082686.

It is an arithmetic number, because the mean of its divisors is an integer number (8262072).

Almost surely, 2554042016 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 554042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892303776).

554042016 is an abundant number, since it is smaller than the sum of its proper divisors (1230565536).

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

554042016 is a wasteful number, since it uses less digits than its factorization.

554042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 554042016 is about 23538.0971193510. The cubic root of 554042016 is about 821.3234705577.

The spelling of 554042016 in words is "five hundred fifty-four million, forty-two thousand, sixteen".