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554640096 = 253171931577
BaseRepresentation
bin100001000011110…
…010001011100000
31102122122122011210
4201003302023200
52113441440341
6131011510120
716513235343
oct4103621340
91378578153
10554640096
1126509734a
121358b8340
138aba650a
145393a45a
1533a5cc16
hex210f22e0

554640096 has 192 divisors, whose sum is σ = 1677957120. Its totient is φ = 159252480.

The previous prime is 554640089. The next prime is 554640131. The reversal of 554640096 is 690046455.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960960 + ... + 961536.

It is an arithmetic number, because the mean of its divisors is an integer number (8739360).

Almost surely, 2554640096 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 554640096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838978560).

554640096 is an abundant number, since it is smaller than the sum of its proper divisors (1123317024).

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

554640096 is a wasteful number, since it uses less digits than its factorization.

554640096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 554640096 is about 23550.7982030334. The cubic root of 554640096 is about 821.6188997124.

The spelling of 554640096 in words is "five hundred fifty-four million, six hundred forty thousand, ninety-six".