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549815040 = 283455303
BaseRepresentation
bin100000110001011…
…000001100000000
31102022120111110000
4200301120030000
52111223040130
6130320240000
716424231205
oct4061301400
91368514400
10549815040
112623a11a5
12134170000
1389ba7258
1453041cac
1533408260
hex20c58300

549815040 has 180 divisors, whose sum is σ = 1967709744. Its totient is φ = 146589696.

The previous prime is 549815011. The next prime is 549815047. The reversal of 549815040 is 40518945.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×5498150403 (a number of 27 digits) contains 333 as substring.

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 = 549814986 and 549815004.

It is not an unprimeable number, because it can be changed into a prime (549815047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101029 + ... + 106331.

Almost surely, 2549815040 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 549815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983854872).

549815040 is an abundant number, since it is smaller than the sum of its proper divisors (1417894704).

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

549815040 is an equidigital number, since it uses as much as digits as its factorization.

549815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 549815040 is about 23448.1351070826. The cubic root of 549815040 is about 819.2294168717.

The spelling of 549815040 in words is "five hundred forty-nine million, eight hundred fifteen thousand, forty".