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629840142 = 232234573329
BaseRepresentation
bin100101100010101…
…001100100001110
31121220011012020200
4211202221210032
52242214341032
6142255354330
721415360431
oct4542514416
91556135220
10629840142
112a358a248
12156b229a6
13a0645b99
145d913818
153a46447c
hex258a990e

629840142 has 48 divisors (see below), whose sum is σ = 1427531040. Its totient is φ = 200318976.

The previous prime is 629840137. The next prime is 629840143. The reversal of 629840142 is 241048926.

It is a junction number, because it is equal to n+sod(n) for n = 629840097 and 629840106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629840143) 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 23 ways as a sum of consecutive naturals, for example, 187534 + ... + 190862.

It is an arithmetic number, because the mean of its divisors is an integer number (29740230).

Almost surely, 2629840142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629840142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713765520).

629840142 is an abundant number, since it is smaller than the sum of its proper divisors (797690898).

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

629840142 is a wasteful number, since it uses less digits than its factorization.

629840142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 629840142 is about 25096.6161464051. The cubic root of 629840142 is about 857.1893740707.

The spelling of 629840142 in words is "six hundred twenty-nine million, eight hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 457 914 1371 2742 3329 4113 6658 8226 9987 10511 19974 21022 29961 31533 59922 63066 76567 94599 153134 189198 229701 459402 689103 1378206 1521353 3042706 4564059 9128118 13692177 27384354 34991119 69982238 104973357 209946714 314920071 629840142