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552097728 = 26337133511
BaseRepresentation
bin100000111010000…
…101011111000000
31102110212110201000
4200322011133000
52112314111403
6130441212000
716452516240
oct4072053700
91373773630
10552097728
11263710216
12134a91000
138a4c6260
1453477b20
15337097a3
hex20e857c0

552097728 has 224 divisors, whose sum is σ = 1998187520. Its totient is φ = 145566720.

The previous prime is 552097709. The next prime is 552097781. The reversal of 552097728 is 827790255.

It is a happy number.

552097728 is a `hidden beast` number, since 552 + 0 + 9 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155493 + ... + 159003.

It is an arithmetic number, because the mean of its divisors is an integer number (8920480).

Almost surely, 2552097728 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 552097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999093760).

552097728 is an abundant number, since it is smaller than the sum of its proper divisors (1446089792).

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

552097728 is a wasteful number, since it uses less digits than its factorization.

552097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 552097728 is about 23496.7599468522. The cubic root of 552097728 is about 820.3615934504.

The spelling of 552097728 in words is "five hundred fifty-two million, ninety-seven thousand, seven hundred twenty-eight".