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552251264 = 2719972341
BaseRepresentation
bin100000111010101…
…010111110000000
31102111011021022112
4200322222332000
52112334020024
6130444354452
716454025665
oct4072527600
91374137275
10552251264
11263805604
12134b45a28
138a54b0c6
14534b7a6c
153373a00e
hex20eaaf80

552251264 has 64 divisors (see below), whose sum is σ = 1170531600. Its totient is φ = 258785280.

The previous prime is 552251251. The next prime is 552251281. The reversal of 552251264 is 462152255.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 552251264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234734 + ... + 237074.

Almost surely, 2552251264 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 552251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585265800).

552251264 is an abundant number, since it is smaller than the sum of its proper divisors (618280336).

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

552251264 is a wasteful number, since it uses less digits than its factorization.

552251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2459 counting only the distinct ones).

The product of its digits is 24000, while the sum is 32.

The square root of 552251264 is about 23500.0268936016. The cubic root of 552251264 is about 820.4376327439.

Subtracting from 552251264 its reverse (462152255), we obtain a palindrome (90099009).

The spelling of 552251264 in words is "five hundred fifty-two million, two hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 128 152 194 304 388 608 776 1216 1552 1843 2341 2432 3104 3686 4682 6208 7372 9364 12416 14744 18728 29488 37456 44479 58976 74912 88958 117952 149824 177916 227077 235904 299648 355832 454154 711664 908308 1423328 1816616 2846656 3633232 4314463 5693312 7266464 8628926 14532928 17257852 29065856 34515704 69031408 138062816 276125632 552251264