Search a number
-
+
47840940 = 22325743883
BaseRepresentation
bin1011011001111…
…1111010101100
310100000120102200
42312133322230
544221402230
64425221500
71120432650
oct266377254
9110016380
1047840940
1125006674
1214031890
139bb0764
1464d4a60
154300160
hex2d9feac

47840940 has 144 divisors (see below), whose sum is σ = 169897728. Its totient is φ = 10668672.

The previous prime is 47840929. The next prime is 47840987. The reversal of 47840940 is 4904874.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47840895 and 47840904.

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 47 ways as a sum of consecutive naturals, for example, 53739 + ... + 54621.

Almost surely, 247840940 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 47840940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84948864).

47840940 is an abundant number, since it is smaller than the sum of its proper divisors (122056788).

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

47840940 is a wasteful number, since it uses less digits than its factorization.

47840940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47840940 is about 6916.7145379869. The cubic root of 47840940 is about 363.0222421087.

The spelling of 47840940 in words is "forty-seven million, eight hundred forty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 883 903 1204 1260 1290 1505 1548 1766 1806 1935 2580 2649 2709 3010 3532 3612 3870 4415 4515 5298 5418 6020 6181 7740 7947 8830 9030 10596 10836 12362 13245 13545 15894 17660 18060 18543 24724 26490 27090 30905 31788 37086 37969 39735 52980 54180 55629 61810 74172 75938 79470 92715 111258 113907 123620 151876 158940 185430 189845 222516 227814 265783 278145 341721 370860 379690 455628 531566 556290 569535 683442 759380 797349 1063132 1112580 1139070 1328915 1366884 1594698 1708605 2278140 2392047 2657830 3189396 3417210 3986745 4784094 5315660 6834420 7973490 9568188 11960235 15946980 23920470 47840940