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47138832 = 2432133149
BaseRepresentation
bin1011001111010…
…0100000010000
310021200220022200
42303310200100
544031420312
64402203200
71111446666
oct263644020
9107626280
1047138832
1124677114
1213953500
1399c6000
146390c36
1542120dc
hex2cf4810

47138832 has 120 divisors (see below), whose sum is σ = 143871000. Its totient is φ = 14406912.

The previous prime is 47138827. The next prime is 47138843. The reversal of 47138832 is 23883174.

It can be written as a sum of positive squares in 4 ways, for example, as 24443136 + 22695696 = 4944^2 + 4764^2 .

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

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316294 + ... + 316442.

It is an arithmetic number, because the mean of its divisors is an integer number (1198925).

Almost surely, 247138832 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 47138832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71935500).

47138832 is an abundant number, since it is smaller than the sum of its proper divisors (96732168).

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

47138832 is a wasteful number, since it uses less digits than its factorization.

47138832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 47138832 is about 6865.7724984156. The cubic root of 47138832 is about 361.2375924347.

The spelling of 47138832 in words is "forty-seven million, one hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 149 156 169 208 234 298 312 338 447 468 507 596 624 676 894 936 1014 1192 1341 1352 1521 1788 1872 1937 2028 2197 2384 2682 2704 3042 3576 3874 4056 4394 5364 5811 6084 6591 7152 7748 8112 8788 10728 11622 12168 13182 15496 17433 17576 19773 21456 23244 24336 25181 26364 30992 34866 35152 39546 46488 50362 52728 69732 75543 79092 92976 100724 105456 139464 151086 158184 201448 226629 278928 302172 316368 327353 402896 453258 604344 654706 906516 982059 1208688 1309412 1813032 1964118 2618824 2946177 3626064 3928236 5237648 5892354 7856472 11784708 15712944 23569416 47138832