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629413590 = 2351310715083
BaseRepresentation
bin100101100001000…
…001011011010110
31121212100112010110
4211201001123112
52242112213330
6142242303450
721411633021
oct4541013326
91555315113
10629413590
112a3318823
12156957b86
13a05269a0
145d8421b8
153a3ccdb0
hex258416d6

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".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 321 390 535 642 1070 1391 1605 2782 3210 4173 6955 8346 13910 15083 20865 30166 41730 45249 75415 90498 150830 196079 226245 392158 452490 588237 980395 1176474 1613881 1960790 2941185 3227762 4841643 5882370 8069405 9683286 16138810 20980453 24208215 41960906 48416430 62941359 104902265 125882718 209804530 314706795 629413590