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554286240 = 25345192251
BaseRepresentation
bin100001000010011…
…011110010100000
31102121222122210000
4201002123302200
52113344124430
6131000140000
716510232604
oct4102336240
91377878700
10554286240
11264975502
12135767600
138aab1431
1453887504
15339dce60
hex2109bca0

554286240 has 240 divisors, whose sum is σ = 2060039520. Its totient is φ = 139968000.

The previous prime is 554286203. The next prime is 554286277. The reversal of 554286240 is 42682455.

It is a happy number.

554286240 is a `hidden beast` number, since 5 + 5 + 4 + 28 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (554286203) and next prime (554286277).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 554286195 and 554286204.

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 39 ways as a sum of consecutive naturals, for example, 245115 + ... + 247365.

It is an arithmetic number, because the mean of its divisors is an integer number (8583498).

Almost surely, 2554286240 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 554286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030019760).

554286240 is an abundant number, since it is smaller than the sum of its proper divisors (1505753280).

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

554286240 is a wasteful number, since it uses less digits than its factorization.

554286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 554286240 is about 23543.2843927945. The cubic root of 554286240 is about 821.4441337514. Note that the first 3 decimals are identical.

The spelling of 554286240 in words is "five hundred fifty-four million, two hundred eighty-six thousand, two hundred forty".