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2992288728 = 23311131751287
BaseRepresentation
bin1011001001011010…
…1011001111011000
321201112112000110110
42302112223033120
522112011214403
61212531044320
7134103014562
oct26226531730
97645460413
102992288728
1112a60838a0
126b61406a0
13388c14660
1420559a332
15127a6e103
hexb25ab3d8

2992288728 has 128 divisors (see below), whose sum is σ = 9305694720. Its totient is φ = 787752960.

The previous prime is 2992288709. The next prime is 2992288729. The reversal of 2992288728 is 8278822992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992288729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32701 + ... + 83987.

It is an arithmetic number, because the mean of its divisors is an integer number (72700740).

Almost surely, 22992288728 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 2992288728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652847360).

2992288728 is an abundant number, since it is smaller than the sum of its proper divisors (6313405992).

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

2992288728 is a wasteful number, since it uses less digits than its factorization.

2992288728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51337 (or 51333 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 2992288728 is about 54701.8164963468. The cubic root of 2992288728 is about 1441.0127790388.

The spelling of 2992288728 in words is "two billion, nine hundred ninety-two million, two hundred eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 858 884 1122 1144 1326 1496 1716 1768 2244 2431 2652 3432 4488 4862 5304 7293 9724 14586 19448 29172 51287 58344 102574 153861 205148 307722 410296 564157 615444 666731 871879 1128314 1230888 1333462 1692471 1743758 2000193 2256628 2615637 2666924 3384942 3487516 4000386 4513256 5231274 5333848 6769884 6975032 7334041 8000772 9590669 10462548 11334427 13539768 14668082 16001544 19181338 20925096 22002123 22668854 28772007 29336164 34003281 38362676 44004246 45337708 57544014 58672328 68006562 76725352 88008492 90675416 115088028 124678697 136013124 176016984 230176056 249357394 272026248 374036091 498714788 748072182 997429576 1496144364 2992288728