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554594040 = 233657111319
BaseRepresentation
bin100001000011100…
…110111011111000
31102122120022000000
4201003212323320
52113434002130
6131010513000
716512654150
oct4103467370
91378508000
10554594040
11265065790
12135895760
138ab8b570
1453927760
1533a4e260
hex210e6ef8

554594040 has 896 divisors, whose sum is σ = 2644185600. Its totient is φ = 100776960.

The previous prime is 554594039. The next prime is 554594069. The reversal of 554594040 is 40495455.

554594040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 554593986 and 554594004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29189151 + ... + 29189169.

It is an arithmetic number, because the mean of its divisors is an integer number (2951100).

Almost surely, 2554594040 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 554594040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322092800).

554594040 is an abundant number, since it is smaller than the sum of its proper divisors (2089591560).

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

554594040 is a wasteful number, since it uses less digits than its factorization.

554594040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 554594040 is about 23549.8203814806. The cubic root of 554594040 is about 821.5961573204.

The spelling of 554594040 in words is "five hundred fifty-four million, five hundred ninety-four thousand, forty".