Search a number
-
+
47528442 = 23213238831
BaseRepresentation
bin1011010101001…
…1100111111010
310022102200202200
42311103213322
544131402232
64414411030
71114661613
oct265234772
9108380680
1047528442
1124912905
1213b00a76
139b01450
146452c0a
15428c77c
hex2d539fa

47528442 has 48 divisors (see below), whose sum is σ = 115734528. Its totient is φ = 13986720.

The previous prime is 47528441. The next prime is 47528449. The reversal of 47528442 is 24482574.

It is a junction number, because it is equal to n+sod(n) for n = 47528397 and 47528406.

It is not an unprimeable number, because it can be changed into a prime (47528441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967 + ... + 9797.

It is an arithmetic number, because the mean of its divisors is an integer number (2411136).

Almost surely, 247528442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47528442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57867264).

47528442 is an abundant number, since it is smaller than the sum of its proper divisors (68206086).

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

47528442 is a wasteful number, since it uses less digits than its factorization.

47528442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8875 (or 8872 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 47528442 is about 6894.0874668081. The cubic root of 47528442 is about 362.2300919093.

The spelling of 47528442 in words is "forty-seven million, five hundred twenty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 5382 8831 17662 26493 52986 79479 114803 158958 203113 229606 344409 406226 609339 688818 1033227 1218678 1828017 2066454 2640469 3656034 5280938 7921407 15842814 23764221 47528442