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47134224 = 2438449
BaseRepresentation
bin1011001111001…
…1011000010000
310021200200000000
42303303120100
544031243344
64402130000
71111430364
oct263633020
9107620000
1047134224
1124673705
1213950900
1399c3b97
14638d2a4
154210a69
hex2cf3610

47134224 has 90 divisors (see below), whose sum is σ = 137281950. Its totient is φ = 15676416.

The previous prime is 47134223. The next prime is 47134259. The reversal of 47134224 is 42243174.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 5143824 = 6480^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47134223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104752 + ... + 105200.

It is an arithmetic number, because the mean of its divisors is an integer number (1525355).

Almost surely, 247134224 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 47134224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640975).

47134224 is an abundant number, since it is smaller than the sum of its proper divisors (90147726).

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

47134224 is an frugal number, since it uses more digits than its factorization.

47134224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 454 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 47134224 is about 6865.4369125351. The cubic root of 47134224 is about 361.2258212686.

Adding to 47134224 its reverse (42243174), we get a palindrome (89377398).

The spelling of 47134224 in words is "forty-seven million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 449 486 648 729 898 972 1296 1347 1458 1796 1944 2187 2694 2916 3592 3888 4041 4374 5388 5832 6561 7184 8082 8748 10776 11664 12123 13122 16164 17496 21552 24246 26244 32328 34992 36369 48492 52488 64656 72738 96984 104976 109107 145476 193968 218214 290952 327321 436428 581904 654642 872856 981963 1309284 1745712 1963926 2618568 2945889 3927852 5237136 5891778 7855704 11783556 15711408 23567112 47134224