Search a number
-
+
478949874 = 231317221247
BaseRepresentation
bin11100100011000…
…011000111110010
31020101020011201020
4130203003013302
51440102343444
6115305320310
714604002214
oct3443030762
91211204636
10478949874
1122639a147
12114496096
13782c49c0
14478765b4
152c0ab119
hex1c8c31f2

478949874 has 48 divisors (see below), whose sum is σ = 1095886848. Its totient is φ = 138693888.

The previous prime is 478949839. The next prime is 478949879.

478949874 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478949879) 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, 11919 + ... + 33165.

It is an arithmetic number, because the mean of its divisors is an integer number (22830976).

Almost surely, 2478949874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478949874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547943424).

478949874 is an abundant number, since it is smaller than the sum of its proper divisors (616936974).

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

478949874 is a wasteful number, since it uses less digits than its factorization.

478949874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21299 (or 21282 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The square root of 478949874 is about 21884.9234405789. The cubic root of 478949874 is about 782.4021246246.

The spelling of 478949874 in words is "four hundred seventy-eight million, nine hundred forty-nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 578 663 867 1326 1734 3757 7514 11271 21247 22542 42494 63741 127482 276211 361199 552422 722398 828633 1083597 1657266 2167194 4695587 6140383 9391174 12280766 14086761 18421149 28173522 36842298 79824979 159649958 239474937 478949874