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47484140 = 225111012137
BaseRepresentation
bin1011010100100…
…0110011101100
310022100102222212
42311020303230
544123443030
64413425552
71114415504
oct265106354
9108312885
1047484140
11248925a0
1213a9b2b8
139ab7232
146440a04
15427e595
hex2d48cec

47484140 has 48 divisors (see below), whose sum is σ = 109910304. Its totient is φ = 17088000.

The previous prime is 47484137. The next prime is 47484163. The reversal of 47484140 is 4148474.

47484140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47484097 and 47484106.

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 15 ways as a sum of consecutive naturals, for example, 21152 + ... + 23288.

It is an arithmetic number, because the mean of its divisors is an integer number (2289798).

Almost surely, 247484140 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 47484140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54955152).

47484140 is an abundant number, since it is smaller than the sum of its proper divisors (62426164).

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

47484140 is a wasteful number, since it uses less digits than its factorization.

47484140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 47484140 is about 6890.8736746511. The cubic root of 47484140 is about 362.1175101549.

It can be divided in two parts, 4748 and 4140, that added together give a palindrome (8888).

The spelling of 47484140 in words is "forty-seven million, four hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2137 2222 4274 4444 5555 8548 10685 11110 21370 22220 23507 42740 47014 94028 117535 215837 235070 431674 470140 863348 1079185 2158370 2374207 4316740 4748414 9496828 11871035 23742070 47484140