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47300420 = 22523312107
BaseRepresentation
bin1011010001101…
…1111101000100
310022000002222102
42310123331010
544102103140
64405451232
71113022046
oct264337504
9108002872
1047300420
1124777562
1213a10b18
139a5171b
1463d3a96
154244e15
hex2d1bf44

47300420 has 72 divisors (see below), whose sum is σ = 108101952. Its totient is φ = 17350080.

The previous prime is 47300417. The next prime is 47300431. The reversal of 47300420 is 2400374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 47300392 and 47300401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442007 + ... + 442113.

It is an arithmetic number, because the mean of its divisors is an integer number (1501416).

Almost surely, 247300420 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 47300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54050976).

47300420 is an abundant number, since it is smaller than the sum of its proper divisors (60801532).

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

47300420 is a wasteful number, since it uses less digits than its factorization.

47300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 47300420 is about 6877.5300799051. The cubic root of 47300420 is about 361.6498858427.

Adding to 47300420 its reverse (2400374), we get a palindrome (49700794).

The spelling of 47300420 in words is "forty-seven million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 107 115 124 155 214 230 310 428 460 535 620 713 961 1070 1426 1922 2140 2461 2852 3317 3565 3844 4805 4922 6634 7130 9610 9844 12305 13268 14260 16585 19220 22103 24610 33170 44206 49220 66340 76291 88412 102827 110515 152582 205654 221030 305164 381455 411308 442060 514135 762910 1028270 1525820 2056540 2365021 4730042 9460084 11825105 23650210 47300420