Search a number
-
+
47468320 = 2552312899
BaseRepresentation
bin1011010100010…
…0111100100000
310022022122021221
42311010330200
544122441240
64413224424
71114321414
oct265047440
9108278257
1047468320
1124881719
1213a92114
139aacc83
146438d44
154279a4a
hex2d44f20

47468320 has 48 divisors (see below), whose sum is σ = 117028800. Its totient is φ = 18160384.

The previous prime is 47468279. The next prime is 47468321. The reversal of 47468320 is 2386474.

It is not an unprimeable number, because it can be changed into a prime (47468321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2770 + ... + 10129.

It is an arithmetic number, because the mean of its divisors is an integer number (2438100).

Almost surely, 247468320 is an apocalyptic number.

47468320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47468320 is an abundant number, since it is smaller than the sum of its proper divisors (69560480).

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

47468320 is a wasteful number, since it uses less digits than its factorization.

47468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12937 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 47468320 is about 6889.7256839442. The cubic root of 47468320 is about 362.0772908639.

The spelling of 47468320 in words is "forty-seven million, four hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 12899 25798 51596 64495 103192 128990 206384 257980 296677 412768 515960 593354 1031920 1186708 1483385 2063840 2373416 2966770 4746832 5933540 9493664 11867080 23734160 47468320