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47241216 = 2113211233
BaseRepresentation
bin1011010000110…
…1100000000000
310021220002202200
42310031200000
544043204331
64404313200
71112354331
oct264154000
9107802680
1047241216
1124737030
12139a2800
139a307a9
1463ba288
1542325e6
hex2d0d800

47241216 has 144 divisors (see below), whose sum is σ = 149483880. Its totient is φ = 14254080.

The previous prime is 47241209. The next prime is 47241217. The reversal of 47241216 is 61214274.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 47241216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47241217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202636 + ... + 202868.

Almost surely, 247241216 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 47241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74741940).

47241216 is an abundant number, since it is smaller than the sum of its proper divisors (102242664).

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

47241216 is a wasteful number, since it uses less digits than its factorization.

47241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 47241216 is about 6873.2245707528. The cubic root of 47241216 is about 361.4989353917.

The spelling of 47241216 in words is "forty-seven million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 233 256 264 288 352 384 396 466 512 528 576 699 704 768 792 932 1024 1056 1152 1398 1408 1536 1584 1864 2048 2097 2112 2304 2563 2796 2816 3072 3168 3728 4194 4224 4608 5126 5592 5632 6144 6336 7456 7689 8388 8448 9216 10252 11184 11264 12672 14912 15378 16776 16896 18432 20504 22368 22528 23067 25344 29824 30756 33552 33792 41008 44736 46134 50688 59648 61512 67104 67584 82016 89472 92268 101376 119296 123024 134208 164032 178944 184536 202752 238592 246048 268416 328064 357888 369072 477184 492096 536832 656128 715776 738144 984192 1073664 1312256 1431552 1476288 1968384 2147328 2624512 2952576 3936768 4294656 5249024 5905152 7873536 11810304 15747072 23620608 47241216