Search a number
-
+
2788956990 = 2325195330773
BaseRepresentation
bin1010011000111100…
…0001101100111110
321012100220200202100
42212033001230332
521202433110430
61140425005530
7126053512641
oct24617015476
97170820670
102788956990
111201325736
1265a0238a6
13355a61a11
141c658ba58
15114ca7960
hexa63c1b3e

2788956990 has 96 divisors (see below), whose sum is σ = 7777205280. Its totient is φ = 691262208.

The previous prime is 2788956967. The next prime is 2788956991. The reversal of 2788956990 is 996598872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2788956991) 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 47 ways as a sum of consecutive naturals, for example, 75244 + ... + 106016.

It is an arithmetic number, because the mean of its divisors is an integer number (81012555).

Almost surely, 22788956990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2788956990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888602640).

2788956990 is an abundant number, since it is smaller than the sum of its proper divisors (4988248290).

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

2788956990 is a wasteful number, since it uses less digits than its factorization.

2788956990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30858 (or 30855 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The square root of 2788956990 is about 52810.5764975161. The cubic root of 2788956990 is about 1407.6043672418.

The spelling of 2788956990 in words is "two billion, seven hundred eighty-eight million, nine hundred fifty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 53 57 90 95 106 114 159 171 190 265 285 318 342 477 530 570 795 855 954 1007 1590 1710 2014 2385 3021 4770 5035 6042 9063 10070 15105 18126 30210 30773 45315 61546 90630 92319 153865 184638 276957 307730 461595 553914 584687 923190 1169374 1384785 1630969 1754061 2769570 2923435 3261938 3508122 4892907 5262183 5846870 8154845 8770305 9785814 10524366 14678721 16309690 17540610 24464535 26310915 29357442 30988411 48929070 52621830 61976822 73393605 92965233 146787210 154942055 185930466 278895699 309884110 464826165 557791398 929652330 1394478495 2788956990