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550978560 = 210325111087
BaseRepresentation
bin100000110101110…
…100010000000000
31102101202121111100
4200311310100000
52112022303220
6130401214400
716440145326
oct4065642000
91371677440
10550978560
11263016390
12134631400
138a1c3a22
1453265d16
1533587d90
hex20d74400

550978560 has 264 divisors, whose sum is σ = 2084599296. Its totient is φ = 133447680.

The previous prime is 550978553. The next prime is 550978567. The reversal of 550978560 is 65879055.

550978560 is a `hidden beast` number, since 5 + 509 + 7 + 85 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (550978553) and next prime (550978567).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (550978567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506337 + ... + 507423.

Almost surely, 2550978560 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 550978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042299648).

550978560 is an abundant number, since it is smaller than the sum of its proper divisors (1533620736).

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

550978560 is a wasteful number, since it uses less digits than its factorization.

550978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 550978560 is about 23472.9324968143. The cubic root of 550978560 is about 819.8068948418.

The spelling of 550978560 in words is "five hundred fifty million, nine hundred seventy-eight thousand, five hundred sixty".