Search a number
-
+
3974928848 = 2411172961751
BaseRepresentation
bin1110110011101100…
…1001100111010000
3101021000112022021222
43230323021213100
531120040210343
61454232304212
7200334223562
oct35473114720
911230468258
103974928848
11175a81a970
1292b242068
134b4684007
14299ca9332
15183e71a68
hexecec99d0

3974928848 has 160 divisors (see below), whose sum is σ = 9365829120. Its totient is φ = 1612800000.

The previous prime is 3974928827. The next prime is 3974928851. The reversal of 3974928848 is 8488294793.

It is a congruent number.

It is an unprimeable number.

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, 5292473 + ... + 5293223.

It is an arithmetic number, because the mean of its divisors is an integer number (58536432).

Almost surely, 23974928848 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 3974928848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682914560).

3974928848 is an abundant number, since it is smaller than the sum of its proper divisors (5390900272).

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

3974928848 is a wasteful number, since it uses less digits than its factorization.

3974928848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 62.

The square root of 3974928848 is about 63047.0367900031. The cubic root of 3974928848 is about 1584.0776009494.

The spelling of 3974928848 in words is "three billion, nine hundred seventy-four million, nine hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 29 34 44 58 61 68 88 116 122 136 176 187 232 244 272 319 374 464 488 493 638 671 748 751 976 986 1037 1276 1342 1496 1502 1769 1972 2074 2552 2684 2992 3004 3538 3944 4148 5104 5368 5423 6008 7076 7888 8261 8296 10736 10846 11407 12016 12767 14152 16522 16592 19459 21692 21779 22814 25534 28304 30073 33044 38918 43384 43558 45628 45811 51068 60146 66088 77836 86768 87116 91256 91622 102136 120292 132176 140437 155672 174232 182512 183244 204272 239569 240584 280874 311344 330803 348464 366488 370243 479138 481168 503921 561748 661606 732976 740486 778787 958276 1007842 1123496 1323212 1328519 1480972 1557574 1916552 2015684 2246992 2646424 2657038 2961944 3115148 3833104 4031368 4072673 5292848 5314076 5923888 6230296 8062736 8145346 8566657 10628152 12460592 14613709 16290692 17133314 21256304 22584823 29227418 32581384 34266628 45169646 58454836 65162768 68533256 90339292 116909672 137066512 180678584 233819344 248433053 361357168 496866106 993732212 1987464424 3974928848