Search a number
-
+
470165472 = 2534725913
BaseRepresentation
bin11100000001100…
…010011111100000
31012202200212210000
4130001202133200
51430330243342
6114353140000
714436224550
oct3401423740
91182625700
10470165472
1122143a307
1211155a600
137653a52a
144662b160
152b42344c
hex1c0627e0

470165472 has 120 divisors (see below), whose sum is σ = 1580339376. Its totient is φ = 134327808.

The previous prime is 470165467. The next prime is 470165473. The reversal of 470165472 is 274561074.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (470165473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5188 + ... + 31100.

Almost surely, 2470165472 is an apocalyptic number.

470165472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470165472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790169688).

470165472 is an abundant number, since it is smaller than the sum of its proper divisors (1110173904).

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

470165472 is a wasteful number, since it uses less digits than its factorization.

470165472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25942 (or 25925 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 470165472 is about 21683.2993799375. The cubic root of 470165472 is about 777.5892431068.

The spelling of 470165472 in words is "four hundred seventy million, one hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 25913 51826 77739 103652 155478 181391 207304 233217 310956 362782 414608 466434 544173 621912 699651 725564 829216 932868 1088346 1243824 1399302 1451128 1632519 1865736 2098953 2176692 2487648 2798604 2902256 3265038 3731472 4197906 4353384 4897557 5597208 5804512 6530076 7462944 8395812 8706768 9795114 11194416 13060152 14692671 16791624 17413536 19590228 22388832 26120304 29385342 33583248 39180456 52240608 58770684 67166496 78360912 117541368 156721824 235082736 470165472