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47281338 = 232133743127
BaseRepresentation
bin1011010001011…
…1010010111010
310021222010210200
42310113102322
544101000323
64405223030
71112612316
oct264272272
9107863720
1047281338
1124764195
1213a01a76
139a45b30
1463cab46
15423e443
hex2d174ba

47281338 has 96 divisors (see below), whose sum is σ = 116852736. Its totient is φ = 13716864.

The previous prime is 47281331. The next prime is 47281349. The reversal of 47281338 is 83318274.

47281338 is a `hidden beast` number, since 47 + 281 + 338 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47281331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372231 + ... + 372357.

It is an arithmetic number, because the mean of its divisors is an integer number (1217216).

Almost surely, 247281338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47281338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58426368).

47281338 is an abundant number, since it is smaller than the sum of its proper divisors (69571398).

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

47281338 is a wasteful number, since it uses less digits than its factorization.

47281338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 225 counting only the distinct ones).

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

The square root of 47281338 is about 6876.1426686770. The cubic root of 47281338 is about 361.6012468713.

It can be divided in two parts, 472 and 81338, that added together give a triangular number (81810 = T404).

The spelling of 47281338 in words is "forty-seven million, two hundred eighty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 37 39 43 74 78 86 111 117 127 129 222 234 254 258 333 381 387 481 559 666 762 774 962 1118 1143 1443 1591 1651 1677 2286 2886 3182 3302 3354 4329 4699 4773 4953 5031 5461 8658 9398 9546 9906 10062 10922 14097 14319 14859 16383 20683 28194 28638 29718 32766 41366 42291 49149 61087 62049 70993 84582 98298 122174 124098 141986 183261 186147 202057 212979 366522 372294 404114 425958 549783 606171 638937 1099566 1212342 1277874 1818513 2626741 3637026 5253482 7880223 15760446 23640669 47281338