Base | Representation |
---|---|
bin | 100101100001000… |
… | …001011011010110 |
3 | 1121212100112010110 |
4 | 211201001123112 |
5 | 2242112213330 |
6 | 142242303450 |
7 | 21411633021 |
oct | 4541013326 |
9 | 1555315113 |
10 | 629413590 |
11 | 2a3318823 |
12 | 156957b86 |
13 | a05269a0 |
14 | 5d8421b8 |
15 | 3a3ccdb0 |
hex | 258416d6 |
629413590 has 64 divisors (see below), whose sum is σ = 1642104576. Its totient is φ = 153474432.
The previous prime is 629413573. The next prime is 629413597. The reversal of 629413590 is 95314926.
It is a super-2 number, since 2×6294135902 = 792322934553376200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (629413597) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 34189 + ... + 49271.
It is an arithmetic number, because the mean of its divisors is an integer number (25657884).
Almost surely, 2629413590 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 629413590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821052288).
629413590 is an abundant number, since it is smaller than the sum of its proper divisors (1012690986).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
629413590 is a wasteful number, since it uses less digits than its factorization.
629413590 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15213.
The product of its (nonzero) digits is 58320, while the sum is 39.
The square root of 629413590 is about 25088.1165096147. The cubic root of 629413590 is about 856.9958231523.
It can be divided in two parts, 629413 and 590, that added together give a triangular number (630003 = T1122).
The spelling of 629413590 in words is "six hundred twenty-nine million, four hundred thirteen thousand, five hundred ninety".
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