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629782380 = 2232510932099
BaseRepresentation
bin100101100010011…
…011011101101100
31121220001021000100
4211202123131230
52242211014010
6142254231100
721415030143
oct4542333554
91556037010
10629782380
112a354a907
12156ab5490
13a06257c6
145d8da75a
153a4522c0
hex2589b76c

629782380 has 72 divisors (see below), whose sum is σ = 1927926000. Its totient is φ = 166396032.

The previous prime is 629782367. The next prime is 629782381. The reversal of 629782380 is 83287926.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (629782381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3571 + ... + 35669.

It is an arithmetic number, because the mean of its divisors is an integer number (26776750).

Almost surely, 2629782380 is an apocalyptic number.

629782380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629782380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963963000).

629782380 is an abundant number, since it is smaller than the sum of its proper divisors (1298143620).

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

629782380 is a wasteful number, since it uses less digits than its factorization.

629782380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32223 (or 32218 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 629782380 is about 25095.4653274252. The cubic root of 629782380 is about 857.1631692806.

The spelling of 629782380 in words is "six hundred twenty-nine million, seven hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620 32099 64198 96297 128396 160495 192594 288891 320990 385188 481485 577782 641980 962970 1155564 1444455 1925940 2888910 3498791 5777820 6997582 10496373 13995164 17493955 20992746 31489119 34987910 41985492 52481865 62978238 69975820 104963730 125956476 157445595 209927460 314891190 629782380