Search a number
-
+
47030100 = 223521331389
BaseRepresentation
bin1011001101100…
…1111101010100
310021111101011120
42303121331110
544014430400
64400003540
71110514665
oct263317524
9107441146
1047030100
1124602457
12139005b0
139988680
14636336c
1541deca0
hex2cd9f54

47030100 has 144 divisors (see below), whose sum is σ = 151656960. Its totient is φ = 11174400.

The previous prime is 47030099. The next prime is 47030119. The reversal of 47030100 is 103074.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 47030100.

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, 120706 + ... + 121094.

Almost surely, 247030100 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 47030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75828480).

47030100 is an abundant number, since it is smaller than the sum of its proper divisors (104626860).

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

47030100 is a wasteful number, since it uses less digits than its factorization.

47030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 47030100 is about 6857.8495171592. The cubic root of 47030100 is about 360.9596310524.

Adding to 47030100 its reverse (103074), we get a palindrome (47133174).

The spelling of 47030100 in words is "forty-seven million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 31 39 50 52 60 62 65 75 78 93 100 124 130 150 155 156 186 195 260 300 310 325 372 389 390 403 465 620 650 775 778 780 806 930 975 1167 1209 1300 1550 1556 1612 1860 1945 1950 2015 2325 2334 2418 3100 3890 3900 4030 4650 4668 4836 5057 5835 6045 7780 8060 9300 9725 10075 10114 11670 12059 12090 15171 19450 20150 20228 23340 24118 24180 25285 29175 30225 30342 36177 38900 40300 48236 50570 58350 60295 60450 60684 72354 75855 101140 116700 120590 120900 126425 144708 151710 156767 180885 241180 252850 301475 303420 313534 361770 379275 470301 505700 602950 627068 723540 758550 783835 904425 940602 1205900 1517100 1567670 1808850 1881204 2351505 3135340 3617700 3919175 4703010 7838350 9406020 11757525 15676700 23515050 47030100