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47307416 = 23131989269
BaseRepresentation
bin1011010001110…
…1101010011000
310022000110120112
42310131222120
544102314131
64405543452
71113051332
oct264355230
9108013515
1047307416
1124781842
1213a14b88
139a54970
1463d6452
15424702b
hex2d1da98

47307416 has 64 divisors (see below), whose sum is σ = 102060000. Its totient is φ = 20376576.

The previous prime is 47307409. The next prime is 47307419. The reversal of 47307416 is 61470374.

It is a happy number.

47307416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47307419) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 175730 + ... + 175998.

Almost surely, 247307416 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 47307416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51030000).

47307416 is an abundant number, since it is smaller than the sum of its proper divisors (54752584).

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

47307416 is a wasteful number, since it uses less digits than its factorization.

47307416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 47307416 is about 6878.0386739244. The cubic root of 47307416 is about 361.6677149858.

The spelling of 47307416 in words is "forty-seven million, three hundred seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 19 26 38 52 76 89 104 152 178 247 269 356 494 538 712 988 1076 1157 1691 1976 2152 2314 3382 3497 4628 5111 6764 6994 9256 10222 13528 13988 20444 21983 23941 27976 40888 43966 47882 66443 87932 95764 132886 175864 191528 265772 311233 454879 531544 622466 909758 1244932 1819516 2489864 3639032 5913427 11826854 23653708 47307416