Search a number
-
+
47976948 = 223616453
BaseRepresentation
bin1011011100000…
…1000111110100
310100021111000000
42313001013310
544240230243
64432151300
71121540325
oct267010764
9110244000
1047976948
1125099878
1214098530
139c2a636
14652c44c
15432a5d3
hex2dc11f4

47976948 has 42 divisors (see below), whose sum is σ = 125889554. Its totient is φ = 15991344.

The previous prime is 47976923. The next prime is 47976961. The reversal of 47976948 is 84967974.

It is a happy number.

47976948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47032164 + 944784 = 6858^2 + 972^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47976894 and 47976903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5311 + ... + 11142.

Almost surely, 247976948 is an apocalyptic number.

It is an amenable number.

47976948 is an abundant number, since it is smaller than the sum of its proper divisors (77912606).

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

47976948 is a wasteful number, since it uses less digits than its factorization.

47976948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16475 (or 16458 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 47976948 is about 6926.5393956867. The cubic root of 47976948 is about 363.3659311063.

The spelling of 47976948 in words is "forty-seven million, nine hundred seventy-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 16453 32906 49359 65812 98718 148077 197436 296154 444231 592308 888462 1332693 1776924 2665386 3998079 5330772 7996158 11994237 15992316 23988474 47976948