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3082043952 = 243313678191
BaseRepresentation
bin1011011110110100…
…0100001000110000
321221210102001111000
42313231010020300
522303000401302
61225454522000
7136242640611
oct26755041060
97853361430
103082043952
111341808269
12720206300
133a16ac060
14213481c08
1513089d31c
hexb7b44230

3082043952 has 160 divisors (see below), whose sum is σ = 9670492160. Its totient is φ = 934053120.

The previous prime is 3082043911. The next prime is 3082043983. The reversal of 3082043952 is 2593402803.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 372177 + ... + 380367.

It is an arithmetic number, because the mean of its divisors is an integer number (60440576).

Almost surely, 23082043952 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 3082043952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835246080).

3082043952 is an abundant number, since it is smaller than the sum of its proper divisors (6588448208).

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

3082043952 is a wasteful number, since it uses less digits than its factorization.

3082043952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3082043952 is about 55516.1593772480. The cubic root of 3082043952 is about 1455.2790452155.

The spelling of 3082043952 in words is "three billion, eighty-two million, forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 104 108 117 134 144 156 201 208 216 234 268 312 351 402 432 468 536 603 624 702 804 871 936 1072 1206 1404 1608 1742 1809 1872 2412 2613 2808 3216 3484 3618 4824 5226 5616 6968 7236 7839 8191 9648 10452 13936 14472 15678 16382 20904 23517 24573 28944 31356 32764 41808 47034 49146 62712 65528 73719 94068 98292 106483 125424 131056 147438 188136 196584 212966 221157 294876 319449 376272 393168 425932 442314 548797 589752 638898 851864 884628 958347 1097594 1179504 1277796 1646391 1703728 1769256 1916694 2195188 2555592 2875041 3292782 3538512 3833388 4390376 4939173 5111184 5750082 6585564 7134361 7666776 8780752 9878346 11500164 13171128 14268722 14817519 15333552 19756692 21403083 23000328 26342256 28537444 29635038 39513384 42806166 46000656 57074888 59270076 64209249 79026768 85612332 114149776 118540152 128418498 171224664 192627747 237080304 256836996 342449328 385255494 513673992 770510988 1027347984 1541021976 3082043952