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2929252128 = 2531114811873
BaseRepresentation
bin1010111010011000…
…1101011100100000
321120010220102111120
42232212031130200
521444342032003
61202400012240
7132406142445
oct25646153440
97503812446
102929252128
111273539530
12699001080
13378b434aa
141db06b9cc
1512226b853
hexae98d720

2929252128 has 96 divisors (see below), whose sum is σ = 8398458432. Its totient is φ = 886579200.

The previous prime is 2929252121. The next prime is 2929252163. The reversal of 2929252128 is 8212529292.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2929252128.

It is not an unprimeable number, because it can be changed into a prime (2929252121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1563000 + ... + 1564872.

It is an arithmetic number, because the mean of its divisors is an integer number (87483942).

Almost surely, 22929252128 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 2929252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199229216).

2929252128 is an abundant number, since it is smaller than the sum of its proper divisors (5469206304).

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

2929252128 is a wasteful number, since it uses less digits than its factorization.

2929252128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3370 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 2929252128 is about 54122.5657928373. The cubic root of 2929252128 is about 1430.8219194628.

The spelling of 2929252128 in words is "two billion, nine hundred twenty-nine million, two hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1481 1873 2962 3746 4443 5619 5924 7492 8886 11238 11848 14984 16291 17772 20603 22476 23696 29968 32582 35544 41206 44952 47392 48873 59936 61809 65164 71088 82412 89904 97746 123618 130328 142176 164824 179808 195492 247236 260656 329648 390984 494472 521312 659296 781968 988944 1563936 1977888 2773913 5547826 8321739 11095652 16643478 22191304 30513043 33286956 44382608 61026086 66573912 88765216 91539129 122052172 133147824 183078258 244104344 266295648 366156516 488208688 732313032 976417376 1464626064 2929252128