Search a number
-
+
47973870 = 234578461
BaseRepresentation
bin1011011100000…
…0010111101110
310100021022210000
42313000113232
544240130440
64432125130
71121525340
oct267002756
9110238700
1047973870
112509752a
12140967a6
139c29109
14652b290
154329730
hex2dc05ee

47973870 has 80 divisors (see below), whose sum is σ = 147441888. Its totient is φ = 10964160.

The previous prime is 47973857. The next prime is 47973901. The reversal of 47973870 is 7837974.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1440 + ... + 9900.

Almost surely, 247973870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47973870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73720944).

47973870 is an abundant number, since it is smaller than the sum of its proper divisors (99468018).

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

47973870 is a wasteful number, since it uses less digits than its factorization.

47973870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 47973870 is about 6926.3172032473. The cubic root of 47973870 is about 363.3581602614.

The spelling of 47973870 in words is "forty-seven million, nine hundred seventy-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 8461 16922 25383 42305 50766 59227 76149 84610 118454 126915 152298 177681 228447 253830 296135 355362 380745 456894 533043 592270 685341 761490 888405 1066086 1142235 1370682 1599129 1776810 2284470 2665215 3198258 3426705 4797387 5330430 6853410 7995645 9594774 15991290 23986935 47973870