Search a number
-
+
47008320 = 2635232129
BaseRepresentation
bin1011001101010…
…0101001000000
310021110021021220
42303110221000
544013231240
64355315040
71110364332
oct263245100
9107407256
1047008320
1124598057
12138aba80
13997b798
146359452
1541d85d0
hex2cd4a40

47008320 has 112 divisors (see below), whose sum is σ = 155813760. Its totient is φ = 11984896.

The previous prime is 47008303. The next prime is 47008361. The reversal of 47008320 is 2380074.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21016 + ... + 23144.

Almost surely, 247008320 is an apocalyptic number.

47008320 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 47008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77906880).

47008320 is an abundant number, since it is smaller than the sum of its proper divisors (108805440).

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

47008320 is a wasteful number, since it uses less digits than its factorization.

47008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 47008320 is about 6856.2613719140. The cubic root of 47008320 is about 360.9039013908.

Adding to 47008320 its reverse (2380074), we get a palindrome (49388394).

The spelling of 47008320 in words is "forty-seven million, eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2129 2208 2760 3680 4258 4416 5520 6387 7360 8516 10645 11040 12774 17032 21290 22080 25548 31935 34064 42580 48967 51096 63870 68128 85160 97934 102192 127740 136256 146901 170320 195868 204384 244835 255480 293802 340640 391736 408768 489670 510960 587604 681280 734505 783472 979340 1021920 1175208 1469010 1566944 1958680 2043840 2350416 2938020 3133888 3917360 4700832 5876040 7834720 9401664 11752080 15669440 23504160 47008320