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47054336 = 29719691
BaseRepresentation
bin1011001101111…
…1111000000000
310021112121102012
42303133320000
544021214321
64400312052
71110645440
oct263377000
9107477365
1047054336
112461968a
1213912628
139996704
14636c120
1541e705b
hex2cdfe00

47054336 has 80 divisors (see below), whose sum is σ = 113266560. Its totient is φ = 19077120.

The previous prime is 47054309. The next prime is 47054339. The reversal of 47054336 is 63345074.

47054336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×470543362 = 4428221072801792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47054339) 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 7 ways as a sum of consecutive naturals, for example, 67751 + ... + 68441.

It is an arithmetic number, because the mean of its divisors is an integer number (1415832).

Almost surely, 247054336 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 47054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56633280).

47054336 is an abundant number, since it is smaller than the sum of its proper divisors (66212224).

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

47054336 is an equidigital number, since it uses as much as digits as its factorization.

47054336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 47054336 is about 6859.6163158008. The cubic root of 47054336 is about 361.0216247920.

It can be divided in two parts, 4 and 7054336, that multiplied together give a square (28217344 = 53122).

The spelling of 47054336 in words is "forty-seven million, fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 691 896 1064 1216 1382 1792 2128 2432 2764 3584 4256 4837 4864 5528 8512 9674 9728 11056 13129 17024 19348 22112 26258 34048 38696 44224 52516 68096 77392 88448 91903 105032 154784 176896 183806 210064 309568 353792 367612 420128 619136 735224 840256 1238272 1470448 1680512 2476544 2940896 3361024 5881792 6722048 11763584 23527168 47054336