Search a number
-
+
471248540 = 225717319457
BaseRepresentation
bin11100000101101…
…010111010011100
31012211201220110122
4130011222322130
51431114423130
6114432254112
714451355310
oct3405527234
91184656418
10471248540
1122200a004
121119a1338
13768294b9
144682db40
152b5892e5
hex1c16ae9c

471248540 has 48 divisors (see below), whose sum is σ = 1137592512. Its totient is φ = 160628736.

The previous prime is 471248537. The next prime is 471248593. The reversal of 471248540 is 45842174.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 471248540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14492 + ... + 33948.

It is an arithmetic number, because the mean of its divisors is an integer number (23699844).

Almost surely, 2471248540 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 471248540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568796256).

471248540 is an abundant number, since it is smaller than the sum of its proper divisors (666343972).

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

471248540 is a wasteful number, since it uses less digits than its factorization.

471248540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19646 (or 19644 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 471248540 is about 21708.2597183653. The cubic root of 471248540 is about 778.1858672192.

The spelling of 471248540 in words is "four hundred seventy-one million, two hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 12110 19457 24220 38914 77828 97285 136199 194570 272398 389140 544796 680995 1361990 2723980 3366061 6732122 13464244 16830305 23562427 33660610 47124854 67321220 94249708 117812135 235624270 471248540