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2084702928 = 2437111733179
BaseRepresentation
bin111110001000010…
…0000101011010000
312101021201212210120
41330100200223100
513232140443203
6542510230240
7102442453050
oct17420405320
95337655716
102084702928
1197a840190
124a21b5380
13272b93239
1415ac27560
15c3044b53
hex7c420ad0

2084702928 has 160 divisors (see below), whose sum is σ = 7109544960. Its totient is φ = 509614080.

The previous prime is 2084702891. The next prime is 2084702929. The reversal of 2084702928 is 8292074802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2084702928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084702929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46243 + ... + 79421.

It is an arithmetic number, because the mean of its divisors is an integer number (44434656).

Almost surely, 22084702928 is an apocalyptic number.

2084702928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084702928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554772480).

2084702928 is an abundant number, since it is smaller than the sum of its proper divisors (5024842032).

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

2084702928 is a wasteful number, since it uses less digits than its factorization.

2084702928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33225 (or 33219 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2084702928 is about 45658.5471516561. The cubic root of 2084702928 is about 1277.4622015642.

The spelling of 2084702928 in words is "two billion, eighty-four million, seven hundred two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 51 56 66 68 77 84 88 102 112 119 132 136 154 168 176 187 204 231 238 264 272 308 336 357 374 408 462 476 528 561 616 714 748 816 924 952 1122 1232 1309 1428 1496 1848 1904 2244 2618 2856 2992 3696 3927 4488 5236 5712 7854 8976 10472 15708 20944 31416 33179 62832 66358 99537 132716 199074 232253 265432 364969 398148 464506 530864 564043 696759 729938 796296 929012 1094907 1128086 1393518 1459876 1592592 1692129 1858024 2189814 2256172 2554783 2787036 2919752 3384258 3716048 3948301 4379628 4512344 5109566 5574072 5839504 6204473 6768516 7664349 7896602 8759256 9024688 10219132 11148144 11844903 12408946 13537032 15328698 15793204 17518512 18613419 20438264 23689806 24817892 27074064 30657396 31586408 37226838 40876528 43431311 47379612 49635784 61314792 63172816 74453676 86862622 94759224 99271568 122629584 130293933 148907352 173725244 189518448 260587866 297814704 347450488 521175732 694900976 1042351464 2084702928