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47200734 = 23271013709
BaseRepresentation
bin1011010000001…
…1100111011110
310021211001020100
42310003213132
544040410414
64403401530
71112125320
oct264034736
9107731210
1047200734
1124709679
12139832a6
139a18239
1463a9610
154225609
hex2d039de

47200734 has 48 divisors (see below), whose sum is σ = 118067040. Its totient is φ = 13348800.

The previous prime is 47200723. The next prime is 47200739. The reversal of 47200734 is 43700274.

It is a junction number, because it is equal to n+sod(n) for n = 47200698 and 47200707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47200739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10872 + ... + 14580.

It is an arithmetic number, because the mean of its divisors is an integer number (2459730).

Almost surely, 247200734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47200734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59033520).

47200734 is an abundant number, since it is smaller than the sum of its proper divisors (70866306).

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

47200734 is a wasteful number, since it uses less digits than its factorization.

47200734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 47200734 is about 6870.2790336347. The cubic root of 47200734 is about 361.3956471810.

The spelling of 47200734 in words is "forty-seven million, two hundred thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 3709 4242 6363 7418 11127 12726 22254 25963 33381 51926 66762 77889 155778 233667 374609 467334 749218 1123827 2247654 2622263 3371481 5244526 6742962 7866789 15733578 23600367 47200734