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47084076 = 223213271109
BaseRepresentation
bin1011001110011…
…1001000101100
310021121010012200
42303213020230
544023142301
64401101500
71111131234
oct263471054
9107533180
1047084076
1124639a66
1213927890
1399a7100
146378cc4
154200c86
hex2ce722c

47084076 has 108 divisors (see below), whose sum is σ = 131891760. Its totient is φ = 14152320.

The previous prime is 47084069. The next prime is 47084077. The reversal of 47084076 is 67048074.

It is a happy number.

47084076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 47084076.

It is not an unprimeable number, because it can be changed into a prime (47084077) 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 35 ways as a sum of consecutive naturals, for example, 431910 + ... + 432018.

It is an arithmetic number, because the mean of its divisors is an integer number (1221220).

Almost surely, 247084076 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 47084076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65945880).

47084076 is an abundant number, since it is smaller than the sum of its proper divisors (84807684).

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

47084076 is a wasteful number, since it uses less digits than its factorization.

47084076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47084076 is about 6861.7837331120. The cubic root of 47084076 is about 361.0976682403.

The spelling of 47084076 in words is "forty-seven million, eighty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 109 117 142 156 169 213 218 234 284 327 338 426 436 468 507 639 654 676 852 923 981 1014 1278 1308 1417 1521 1846 1962 2028 2556 2769 2834 3042 3692 3924 4251 5538 5668 6084 7739 8307 8502 11076 11999 12753 15478 16614 17004 18421 23217 23998 25506 30956 33228 35997 36842 46434 47996 51012 55263 69651 71994 73684 92868 100607 107991 110526 139302 143988 165789 201214 215982 221052 278604 301821 331578 402428 431964 603642 663156 905463 1207284 1307891 1810926 2615782 3621852 3923673 5231564 7847346 11771019 15694692 23542038 47084076