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47240320 = 275223331
BaseRepresentation
bin1011010000110…
…1010010000000
310021220001112111
42310031102000
544043142240
64404305104
71112351611
oct264152200
9107801474
1047240320
1124736396
12139a2194
139a3026a
1463b9c08
1542321ea
hex2d0d480

47240320 has 64 divisors (see below), whose sum is σ = 113783040. Its totient is φ = 18754560.

The previous prime is 47240309. The next prime is 47240329. The reversal of 47240320 is 2304274.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 47240291 and 47240300.

It is not an unprimeable number, because it can be changed into a prime (47240329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142555 + ... + 142885.

It is an arithmetic number, because the mean of its divisors is an integer number (1777860).

Almost surely, 247240320 is an apocalyptic number.

47240320 is a gapful number since it is divisible by the number (40) 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 47240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56891520).

47240320 is an abundant number, since it is smaller than the sum of its proper divisors (66542720).

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

47240320 is a wasteful number, since it uses less digits than its factorization.

47240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 47240320 is about 6873.1593899749. The cubic root of 47240320 is about 361.4966499221.

Adding to 47240320 its reverse (2304274), we get a palindrome (49544594).

The spelling of 47240320 in words is "forty-seven million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 320 331 446 640 662 892 1115 1324 1655 1784 2230 2648 3310 3568 4460 5296 6620 7136 8920 10592 13240 14272 17840 21184 26480 28544 35680 42368 52960 71360 73813 105920 142720 147626 211840 295252 369065 590504 738130 1181008 1476260 2362016 2952520 4724032 5905040 9448064 11810080 23620160 47240320