Search a number
-
+
47012480 = 2751729149
BaseRepresentation
bin1011001101010…
…1101010000000
310021110110222222
42303111222000
544013344410
64355350212
71110412424
oct263255200
9107413888
1047012480
11245a0199
12138b2368
139980648
14635ab84
1541d9955
hex2cd5a80

47012480 has 128 divisors (see below), whose sum is σ = 123930000. Its totient is φ = 16973824.

The previous prime is 47012477. The next prime is 47012501. The reversal of 47012480 is 8421074.

It can be written as a sum of positive squares in 8 ways, for example, as 17505856 + 29506624 = 4184^2 + 5432^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315446 + ... + 315594.

Almost surely, 247012480 is an apocalyptic number.

47012480 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 47012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61965000).

47012480 is an abundant number, since it is smaller than the sum of its proper divisors (76917520).

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

47012480 is a wasteful number, since it uses less digits than its factorization.

47012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 47012480 is about 6856.5647375344. The cubic root of 47012480 is about 360.9145471371.

The spelling of 47012480 in words is "forty-seven million, twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 128 136 145 149 160 170 232 272 290 298 320 340 464 493 544 580 596 640 680 745 928 986 1088 1160 1192 1360 1490 1856 1972 2176 2320 2384 2465 2533 2720 2980 3712 3944 4321 4640 4768 4930 5066 5440 5960 7888 8642 9280 9536 9860 10132 10880 11920 12665 15776 17284 18560 19072 19720 20264 21605 23840 25330 31552 34568 39440 40528 43210 47680 50660 63104 69136 73457 78880 81056 86420 95360 101320 138272 146914 157760 162112 172840 202640 276544 293828 315520 324224 345680 367285 405280 553088 587656 691360 734570 810560 1175312 1382720 1469140 1621120 2350624 2765440 2938280 4701248 5876560 9402496 11753120 23506240 47012480