Search a number
-
+
47820942 = 23713292
BaseRepresentation
bin1011011001101…
…1000010001110
310022222120000000
42312123002032
544220232232
64424545130
71120320441
oct266330216
9108876000
1047820942
1124aa2644
12140221a6
139ba4620
1464cb658
1542e927c
hex2d9b08e

47820942 has 96 divisors (see below), whose sum is σ = 119988960. Its totient is φ = 14206752.

The previous prime is 47820919. The next prime is 47820959. The reversal of 47820942 is 24902874.

47820942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47820897 and 47820906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648984 + ... + 1649012.

It is an arithmetic number, because the mean of its divisors is an integer number (1249885).

Almost surely, 247820942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47820942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59994480).

47820942 is an abundant number, since it is smaller than the sum of its proper divisors (72168018).

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

47820942 is an equidigital number, since it uses as much as digits as its factorization.

47820942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

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

The square root of 47820942 is about 6915.2687583347. The cubic root of 47820942 is about 362.9716527280.

The spelling of 47820942 in words is "forty-seven million, eight hundred twenty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 243 261 351 377 486 522 702 729 754 783 841 1053 1131 1458 1566 1682 2106 2187 2262 2349 2523 3159 3393 4374 4698 5046 6318 6786 7047 7569 9477 10179 10933 14094 15138 18954 20358 21141 21866 22707 28431 30537 32799 42282 45414 56862 61074 63423 65598 68121 91611 98397 126846 136242 183222 196794 204363 274833 295191 408726 549666 590382 613089 824499 885573 1226178 1648998 1771146 1839267 2656719 3678534 5313438 7970157 15940314 23910471 47820942