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47213712 = 24337131201
BaseRepresentation
bin1011010000011…
…0110010010000
310021211201001000
42310012302100
544041314322
64403542000
71112211210
oct264066220
9107751030
1047213712
11247183a7
121398a900
139a21110
1463b0240
1542293ac
hex2d06c90

47213712 has 160 divisors (see below), whose sum is σ = 166933760. Its totient is φ = 12441600.

The previous prime is 47213707. The next prime is 47213731. The reversal of 47213712 is 21731274.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38712 + ... + 39912.

It is an arithmetic number, because the mean of its divisors is an integer number (1043336).

Almost surely, 247213712 is an apocalyptic number.

47213712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47213712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83466880).

47213712 is an abundant number, since it is smaller than the sum of its proper divisors (119720048).

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

47213712 is a wasteful number, since it uses less digits than its factorization.

47213712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1226 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 47213712 is about 6871.2234718426. The cubic root of 47213712 is about 361.4287664606.

Adding to 47213712 its reverse (21731274), we get a palindrome (68944986).

The spelling of 47213712 in words is "forty-seven million, two hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1201 1404 1456 1512 1638 1872 2184 2402 2457 2808 3024 3276 3603 4368 4804 4914 5616 6552 7206 8407 9608 9828 10809 13104 14412 15613 16814 19216 19656 21618 25221 28824 31226 32427 33628 39312 43236 46839 50442 57648 62452 64854 67256 75663 86472 93678 100884 109291 124904 129708 134512 140517 151326 172944 187356 201768 218582 226989 249808 259416 281034 302652 327873 374712 403536 421551 437164 453978 518832 562068 605304 655746 749424 843102 874328 907956 983619 1124136 1210608 1311492 1686204 1748656 1815912 1967238 2248272 2622984 2950857 3372408 3631824 3934476 5245968 5901714 6744816 7868952 11803428 15737904 23606856 47213712