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2972476380 = 2235538811061
BaseRepresentation
bin1011000100101100…
…0110001111011100
321200011020110000210
42301023012033130
522041423221010
61210542252420
7133442426616
oct26113061734
97604213023
102972476380
111295981555
126ab587110
13384a98783
14202abddb6
15125e58b20
hexb12c63dc

2972476380 has 96 divisors (see below), whose sum is σ = 8497597248. Its totient is φ = 776089600.

The previous prime is 2972476361. The next prime is 2972476387. The reversal of 2972476380 is 836742792.

2972476380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972476387) 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, 2801050 + ... + 2802110.

It is an arithmetic number, because the mean of its divisors is an integer number (88516638).

Almost surely, 22972476380 is an apocalyptic number.

2972476380 is a gapful number since it is divisible by the number (20) 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 2972476380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248798624).

2972476380 is an abundant number, since it is smaller than the sum of its proper divisors (5525120868).

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

2972476380 is a wasteful number, since it uses less digits than its factorization.

2972476380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 2972476380 is about 54520.4216784867. The cubic root of 2972476380 is about 1437.8253537537.

The spelling of 2972476380 in words is "two billion, nine hundred seventy-two million, four hundred seventy-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 881 1060 1061 1590 1762 2122 2643 3180 3183 3524 4244 4405 5286 5305 6366 8810 10572 10610 12732 13215 15915 17620 21220 26430 31830 46693 52860 56233 63660 93386 112466 140079 168699 186772 224932 233465 280158 281165 337398 466930 560316 562330 674796 700395 843495 933860 934741 1124660 1400790 1686990 1869482 2801580 2804223 3373980 3738964 4673705 5608446 9347410 11216892 14021115 18694820 28042230 49541273 56084460 99082546 148623819 198165092 247706365 297247638 495412730 594495276 743119095 990825460 1486238190 2972476380