Search a number
-
+
47694640 = 24572233
BaseRepresentation
bin1011010111110…
…0001100110000
310022202010202011
42311330030300
544202212030
64422132304
71116253300
oct265741460
9108663664
1047694640
1124a16764
1213b81094
139b5bca6
146497600
1542c1b2a
hex2d7c330

47694640 has 120 divisors (see below), whose sum is σ = 134857440. Its totient is φ = 15641472.

The previous prime is 47694631. The next prime is 47694641. The reversal of 47694640 is 4649674.

47694640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 47694593 and 47694602.

It is not an unprimeable number, because it can be changed into a prime (47694641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2073669 + ... + 2073691.

It is an arithmetic number, because the mean of its divisors is an integer number (1123812).

Almost surely, 247694640 is an apocalyptic number.

47694640 is a gapful number since it is divisible by the number (40) 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 47694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67428720).

47694640 is an abundant number, since it is smaller than the sum of its proper divisors (87162800).

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

47694640 is an equidigital number, since it uses as much as digits as its factorization.

47694640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 47694640 is about 6906.1306098278. The cubic root of 47694640 is about 362.6518175028.

It can be divided in two parts, 4769 and 4640, that added together give a square (9409 = 972).

The spelling of 47694640 in words is "forty-seven million, six hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 529 560 644 784 805 920 980 1058 1127 1288 1610 1840 1960 2116 2254 2576 2645 3220 3703 3920 4232 4508 5290 5635 6440 7406 8464 9016 10580 11270 12167 12880 14812 18032 18515 21160 22540 24334 25921 29624 37030 42320 45080 48668 51842 59248 60835 74060 85169 90160 97336 103684 121670 129605 148120 170338 194672 207368 243340 259210 296240 340676 414736 425845 486680 518420 596183 681352 851690 973360 1036840 1192366 1362704 1703380 2073680 2384732 2980915 3406760 4769464 5961830 6813520 9538928 11923660 23847320 47694640