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2072590848 = 2933313479
BaseRepresentation
bin111101110001001…
…0011101000000000
312100102221112011000
41323202103220000
513221040401343
6541354452000
7102234505626
oct17342235000
95312845130
102072590848
11973a181a9
1249a134000
13270512223
14159393516
15c1e50ed3
hex7b893a00

2072590848 has 160 divisors (see below), whose sum is σ = 6167462400. Its totient is φ = 687218688.

The previous prime is 2072590837. The next prime is 2072590859. The reversal of 2072590848 is 8480952702.

It is an interprime number because it is at equal distance from previous prime (2072590837) and next prime (2072590859).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4326673 + ... + 4327151.

It is an arithmetic number, because the mean of its divisors is an integer number (38546640).

Almost surely, 22072590848 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 2072590848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083731200).

2072590848 is an abundant number, since it is smaller than the sum of its proper divisors (4094871552).

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

2072590848 is an equidigital number, since it uses as much as digits as its factorization.

2072590848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2072590848 is about 45525.7163370331. The cubic root of 2072590848 is about 1274.9833852506.

The spelling of 2072590848 in words is "two billion, seventy-two million, five hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 313 384 432 479 512 576 626 768 864 939 958 1152 1252 1437 1536 1728 1878 1916 2304 2504 2817 2874 3456 3756 3832 4311 4608 5008 5634 5748 6912 7512 7664 8451 8622 10016 11268 11496 12933 13824 15024 15328 16902 17244 20032 22536 22992 25866 30048 30656 33804 34488 40064 45072 45984 51732 60096 61312 67608 68976 80128 90144 91968 103464 120192 122624 135216 137952 149927 160256 180288 183936 206928 240384 245248 270432 275904 299854 360576 367872 413856 449781 480768 540864 551808 599708 721152 735744 827712 899562 1081728 1103616 1199416 1349343 1442304 1655424 1799124 2163456 2207232 2398832 2698686 3310848 3598248 4048029 4326912 4797664 5397372 6621696 7196496 8096058 9595328 10794744 14392992 16192116 19190656 21589488 28785984 32384232 38381312 43178976 57571968 64768464 76762624 86357952 115143936 129536928 172715904 230287872 259073856 345431808 518147712 690863616 1036295424 2072590848