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629939680 = 25519436179
BaseRepresentation
bin100101100011000…
…001110111100000
31121220100020210021
4211203001313200
52242231032210
6142301443224
721416253556
oct4543016740
91556306707
10629939680
112a3648007
12156b70514
13a067c296
145d93bbd6
153a483bda
hex258c1de0

629939680 has 192 divisors, whose sum is σ = 1649894400. Its totient is φ = 226437120.

The previous prime is 629939669. The next prime is 629939683. The reversal of 629939680 is 86939926.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629939683) 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, 7973881 + ... + 7973959.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2629939680 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 629939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

629939680 is an abundant number, since it is smaller than the sum of its proper divisors (1019954720).

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

629939680 is a wasteful number, since it uses less digits than its factorization.

629939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The square root of 629939680 is about 25098.5991640968. The cubic root of 629939680 is about 857.2345275501.

The spelling of 629939680 in words is "six hundred twenty-nine million, nine hundred thirty-nine thousand, six hundred eighty".