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629309982 = 237193125439
BaseRepresentation
bin100101100000101…
…000001000011110
31121212011021000010
4211200220020132
52242100404412
6142240144050
721411021660
oct4540501036
91555137003
10629309982
112a32579a4
12156908026
13a04bb792
145d816530
153a3ac33c
hex2582821e

629309982 has 64 divisors (see below), whose sum is σ = 1563033600. Its totient is φ = 164838240.

The previous prime is 629309959. The next prime is 629309987. The reversal of 629309982 is 289903926.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629309987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12019 + ... + 37457.

It is an arithmetic number, because the mean of its divisors is an integer number (24422400).

Almost surely, 2629309982 is an apocalyptic number.

629309982 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 629309982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781516800).

629309982 is an abundant number, since it is smaller than the sum of its proper divisors (933723618).

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

629309982 is a wasteful number, since it uses less digits than its factorization.

629309982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25501.

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 629309982 is about 25086.0515426402. The cubic root of 629309982 is about 856.9487971072.

The spelling of 629309982 in words is "six hundred twenty-nine million, three hundred nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 3534 4123 8246 12369 24738 25439 50878 76317 152634 178073 356146 483341 534219 788609 966682 1068438 1450023 1577218 2365827 2900046 3383387 4731654 5520263 6766774 10150161 11040526 14983571 16560789 20300322 29967142 33121578 44950713 89901426 104884997 209769994 314654991 629309982