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5452058880 = 283254331093
BaseRepresentation
bin1010001001111011…
…11101000100000000
3112001222000021202200
411010331331010000
542131211341010
62301000313200
7252051510252
oct50475750400
915058007680
105452058880
1123485aa594
121081a72800
1368b6c9758
1439a137cd2
1521d99ecc0
hex144f7d100

5452058880 has 216 divisors, whose sum is σ = 18924418968. Its totient is φ = 1449197568.

The previous prime is 5452058879. The next prime is 5452058893. The reversal of 5452058880 is 888502545.

5452058880 is a `hidden beast` number, since 5 + 45 + 20 + 588 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 955551744 + 4496507136 = 30912^2 + 67056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4987614 + ... + 4988706.

Almost surely, 25452058880 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 5452058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462209484).

5452058880 is an abundant number, since it is smaller than the sum of its proper divisors (13472360088).

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

5452058880 is a wasteful number, since it uses less digits than its factorization.

5452058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The square root of 5452058880 is about 73838.0584793506. The cubic root of 5452058880 is about 1760.0304402449.

The spelling of 5452058880 in words is "five billion, four hundred fifty-two million, fifty-eight thousand, eight hundred eighty".