Search a number
-
+
47970300 = 22352753431
BaseRepresentation
bin1011011011111…
…1011111111100
310100021010212210
42312333133330
544240022200
64432100420
71121512050
oct266773774
9110233783
1047970300
1125094884
1214094710
139c275c1
146529c60
154328650
hex2dbf7fc

47970300 has 144 divisors (see below), whose sum is σ = 161989632. Its totient is φ = 10732800.

The previous prime is 47970289. The next prime is 47970317. The reversal of 47970300 is 307974.

It is a super-2 number, since 2×479703002 = 4602299364180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111085 + ... + 111515.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 247970300 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 47970300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80994816).

47970300 is an abundant number, since it is smaller than the sum of its proper divisors (114019332).

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

47970300 is a wasteful number, since it uses less digits than its factorization.

47970300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 47970300 is about 6926.0594857393. The cubic root of 47970300 is about 363.3491468769.

The spelling of 47970300 in words is "forty-seven million, nine hundred seventy thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 53 60 70 75 84 100 105 106 140 150 159 175 210 212 265 300 318 350 371 420 431 525 530 636 700 742 795 862 1050 1060 1113 1293 1325 1484 1590 1724 1855 2100 2155 2226 2586 2650 3017 3180 3710 3975 4310 4452 5172 5300 5565 6034 6465 7420 7950 8620 9051 9275 10775 11130 12068 12930 15085 15900 18102 18550 21550 22260 22843 25860 27825 30170 32325 36204 37100 43100 45255 45686 55650 60340 64650 68529 75425 90510 91372 111300 114215 129300 137058 150850 159901 181020 226275 228430 274116 301700 319802 342645 452550 456860 479703 571075 639604 685290 799505 905100 959406 1142150 1370580 1599010 1713225 1918812 2284300 2398515 3198020 3426450 3997525 4797030 6852900 7995050 9594060 11992575 15990100 23985150 47970300