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3129629608 = 237237474591
BaseRepresentation
bin1011101010001010…
…0101101110101000
322002002221122201201
42322202211232220
522402141121413
61234314453544
7140361261400
oct27242455650
98062848651
103129629608
11136665a056
127341342b4
133ab500551
1421990b800
15134b4c9dd
hexba8a5ba8

3129629608 has 96 divisors (see below), whose sum is σ = 7161315840. Its totient is φ = 1276974720.

The previous prime is 3129629557. The next prime is 3129629611. The reversal of 3129629608 is 8069269213.

3129629608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679393 + ... + 683983.

It is an arithmetic number, because the mean of its divisors is an integer number (74597040).

Almost surely, 23129629608 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 3129629608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580657920).

3129629608 is an abundant number, since it is smaller than the sum of its proper divisors (4031686232).

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

3129629608 is a wasteful number, since it uses less digits than its factorization.

3129629608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 3129629608 is about 55943.0925852334. The cubic root of 3129629608 is about 1462.7304891851.

The spelling of 3129629608 in words is "three billion, one hundred twenty-nine million, six hundred twenty-nine thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 37 47 49 56 74 94 98 148 188 196 259 296 329 376 392 518 658 1036 1316 1739 1813 2072 2303 2632 3478 3626 4591 4606 6956 7252 9182 9212 12173 13912 14504 18364 18424 24346 32137 36728 48692 64274 85211 97384 128548 169867 170422 215777 224959 257096 339734 340844 431554 449918 679468 681688 863108 899836 1189069 1358936 1510439 1726216 1799672 2378138 3020878 4756276 6041756 7983749 8323483 9512552 10573073 12083512 15967498 16646966 21146146 31934996 33293932 42292292 55886243 63869992 66587864 84584584 111772486 223544972 391203701 447089944 782407402 1564814804 3129629608