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47364426 = 234614793
BaseRepresentation
bin1011010010101…
…1100101001010
310022010100210000
42310223211022
544111130201
64411103430
71113406464
oct264534512
9108110700
1047364426
112481065a
1213a41b76
139a748b5
14640d134
154258d86
hex2d2b94a

47364426 has 40 divisors (see below), whose sum is σ = 107893764. Its totient is φ = 15526080.

The previous prime is 47364419. The next prime is 47364439. The reversal of 47364426 is 62446374.

47364426 is a `hidden beast` number, since 4 + 7 + 3 + 644 + 2 + 6 = 666.

47364426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46908801 + 455625 = 6849^2 + 675^2 .

It is a Curzon number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7486 + ... + 12278.

Almost surely, 247364426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47364426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53946882).

47364426 is an abundant number, since it is smaller than the sum of its proper divisors (60529338).

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

47364426 is a wasteful number, since it uses less digits than its factorization.

47364426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4859 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 47364426 is about 6882.1817761521. The cubic root of 47364426 is about 361.8129381610.

The spelling of 47364426 in words is "forty-seven million, three hundred sixty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 3294 4793 4941 9586 9882 14379 28758 43137 86274 129411 258822 292373 388233 584746 776466 877119 1754238 2631357 5262714 7894071 15788142 23682213 47364426