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47428864 = 287219199
BaseRepresentation
bin1011010011101…
…1010100000000
310022020122011121
42310323110000
544120210424
64412322024
71114065400
oct264732400
9108218147
1047428864
112485500a
1213a73314
139a98022
146428800
15426cee4
hex2d3b500

47428864 has 108 divisors (see below), whose sum is σ = 116508000. Its totient is φ = 19160064.

The previous prime is 47428859. The next prime is 47428873. The reversal of 47428864 is 46882474.

It is a self number, because there is not a number n which added to its sum of digits gives 47428864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238237 + ... + 238435.

Almost surely, 247428864 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 47428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58254000).

47428864 is an abundant number, since it is smaller than the sum of its proper divisors (69079136).

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

47428864 is a wasteful number, since it uses less digits than its factorization.

47428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its digits is 344064, while the sum is 43.

The square root of 47428864 is about 6886.8616945602. The cubic root of 47428864 is about 361.9769426621.

The spelling of 47428864 in words is "forty-seven million, four hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 199 224 256 266 304 392 398 448 532 608 784 796 896 931 1064 1216 1393 1568 1592 1792 1862 2128 2432 2786 3136 3184 3724 3781 4256 4864 5572 6272 6368 7448 7562 8512 9751 11144 12544 12736 14896 15124 17024 19502 22288 25472 26467 29792 30248 34048 39004 44576 50944 52934 59584 60496 78008 89152 105868 119168 120992 156016 178304 185269 211736 238336 241984 312032 356608 370538 423472 483968 624064 741076 846944 967936 1248128 1482152 1693888 2496256 2964304 3387776 5928608 6775552 11857216 23714432 47428864