Base | Representation |
---|---|
bin | 1011011100000… |
… | …1010111110110 |
3 | 10100021112102000 |
4 | 2313001113312 |
5 | 44240243344 |
6 | 4432200130 |
7 | 1121543322 |
oct | 267012766 |
9 | 110245360 |
10 | 47977974 |
11 | 2509a620 |
12 | 14099046 |
13 | 9c2ac45 |
14 | 652c982 |
15 | 432aa69 |
hex | 2dc15f6 |
47977974 has 96 divisors (see below), whose sum is σ = 121564800. Its totient is φ = 13906080.
The previous prime is 47977967. The next prime is 47977991.
47977974 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (54).
Its product of digits (3111696) is a multiple of the sum of its prime divisors (112).
It is a self number, because there is not a number n which added to its sum of digits gives 47977974.
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, 813157 + ... + 813215.
It is an arithmetic number, because the mean of its divisors is an integer number (1266300).
Almost surely, 247977974 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47977974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60782400).
47977974 is an abundant number, since it is smaller than the sum of its proper divisors (73586826).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47977974 is a wasteful number, since it uses less digits than its factorization.
47977974 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155 (or 112 counting only the distinct ones).
The product of its digits is 3111696, while the sum is 54.
The square root of 47977974 is about 6926.6134582493. The cubic root of 47977974 is about 363.3685213140.
The spelling of 47977974 in words is "forty-seven million, nine hundred seventy-seven thousand, nine hundred seventy-four".
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