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552567312 = 2433113312
BaseRepresentation
bin100000111011111…
…000001000010000
31102111202022212000
4200323320020100
52112424123222
6130455234000
716456513263
oct4073701020
91374668760
10552567312
11263a01000
12135078900
138a62bc0b
145355acda
153379d9ac
hex20ef8210

552567312 has 240 divisors, whose sum is σ = 1802652480. Its totient is φ = 162043200.

The previous prime is 552567277. The next prime is 552567313. The reversal of 552567312 is 213765255.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (552567313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17824737 + ... + 17824767.

It is an arithmetic number, because the mean of its divisors is an integer number (7511052).

Almost surely, 2552567312 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 552567312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901326240).

552567312 is an abundant number, since it is smaller than the sum of its proper divisors (1250085168).

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

552567312 is a wasteful number, since it uses less digits than its factorization.

552567312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 47 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 552567312 is about 23506.7503496336. The cubic root of 552567312 is about 820.5941123762.

The spelling of 552567312 in words is "five hundred fifty-two million, five hundred sixty-seven thousand, three hundred twelve".