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553025064 = 233232431013
BaseRepresentation
bin100000111101100…
…111111000101000
31102112121120202210
4200331213320220
52113033300224
6130513125120
716463430654
oct4075477050
91375546683
10553025064
11264193a09
121352597a0
138a75c387
1453639a64
153383e429
hex20f67e28

553025064 has 96 divisors (see below), whose sum is σ = 1480358880. Its totient is φ = 172056192.

The previous prime is 553025063. The next prime is 553025069. The reversal of 553025064 is 460520355.

553025064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (553025063) 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, 545422 + ... + 546434.

It is an arithmetic number, because the mean of its divisors is an integer number (15420405).

Almost surely, 2553025064 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 553025064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740179440).

553025064 is an abundant number, since it is smaller than the sum of its proper divisors (927333816).

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

553025064 is a wasteful number, since it uses less digits than its factorization.

553025064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 553025064 is about 23516.4849414193. The cubic root of 553025064 is about 820.8206458144.

The spelling of 553025064 in words is "five hundred fifty-three million, twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 529 552 989 1013 1032 1058 1587 1978 2026 2116 2967 3039 3174 3956 4052 4232 5934 6078 6348 7912 8104 11868 12156 12696 22747 23299 23736 24312 43559 45494 46598 68241 69897 87118 90988 93196 130677 136482 139794 174236 181976 186392 261354 272964 279588 348472 522708 535877 545928 559176 1001857 1045416 1071754 1607631 2003714 2143508 3005571 3215262 4007428 4287016 6011142 6430524 8014856 12022284 12861048 23042711 24044568 46085422 69128133 92170844 138256266 184341688 276512532 553025064