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3829852040 = 2357196191163
BaseRepresentation
bin1110010001000110…
…1110011110001000
3100212220112122022212
43210101232132020
530320420231130
61432011004252
7163623130250
oct34421563610
910786478285
103829852040
111695940583
128aa739688
134905b9c51
14284902960
15176365e95
hexe446e788

3829852040 has 128 divisors (see below), whose sum is σ = 10392192000. Its totient is φ = 1240904448.

The previous prime is 3829852031. The next prime is 3829852051. The reversal of 3829852040 is 402589283.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3292499 + ... + 3293661.

It is an arithmetic number, because the mean of its divisors is an integer number (81189000).

Almost surely, 23829852040 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 3829852040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196096000).

3829852040 is an abundant number, since it is smaller than the sum of its proper divisors (6562339960).

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

3829852040 is a wasteful number, since it uses less digits than its factorization.

3829852040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 3829852040 is about 61885.7983708702. The cubic root of 3829852040 is about 1564.5663978566.

The spelling of 3829852040 in words is "three billion, eight hundred twenty-nine million, eight hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 619 665 760 1064 1163 1238 1330 2326 2476 2660 3095 4333 4652 4952 5320 5815 6190 8141 8666 9304 11630 11761 12380 16282 17332 21665 22097 23260 23522 24760 32564 34664 40705 43330 44194 46520 47044 58805 65128 81410 82327 86660 88388 94088 110485 117610 154679 162820 164654 173320 176776 220970 235220 309358 325640 329308 411635 441940 470440 618716 658616 719897 773395 823270 883880 1237432 1439794 1546790 1646540 2879588 3093580 3293080 3599485 5039279 5759176 6187160 7198970 10078558 13678043 14397940 20157116 25196395 27356086 28795880 40314232 50392790 54712172 68390215 95746301 100785580 109424344 136780430 191492602 201571160 273560860 382985204 478731505 547121720 765970408 957463010 1914926020 3829852040