Search a number
-
+
487970760 = 23352327687
BaseRepresentation
bin11101000101011…
…101011111001000
31021000012111001010
4131011131133020
51444410031020
6120230523520
715043453164
oct3505353710
91230174033
10487970760
112304a0722
121175065a0
137a1329c4
1448b43ca4
152cc8dde0
hex1d15d7c8

487970760 has 96 divisors (see below), whose sum is σ = 1530527040. Its totient is φ = 124451712.

The previous prime is 487970741. The next prime is 487970761. The reversal of 487970760 is 67079784.

It is a super-2 number, since 2×4879707602 = 476230925229955200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (487970761) 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, 59637 + ... + 67323.

It is an arithmetic number, because the mean of its divisors is an integer number (15942990).

Almost surely, 2487970760 is an apocalyptic number.

487970760 is a gapful number since it is divisible by the number (40) 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 487970760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765263520).

487970760 is an abundant number, since it is smaller than the sum of its proper divisors (1042556280).

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

487970760 is a wasteful number, since it uses less digits than its factorization.

487970760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7747 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 487970760 is about 22090.0602081570. The cubic root of 487970760 is about 787.2837118285.

The spelling of 487970760 in words is "four hundred eighty-seven million, nine hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2645 2760 3174 4232 5290 6348 7687 7935 10580 12696 15374 15870 21160 23061 30748 31740 38435 46122 61496 63480 76870 92244 115305 153740 176801 184488 230610 307480 353602 461220 530403 707204 884005 922440 1060806 1414408 1768010 2121612 2652015 3536020 4066423 4243224 5304030 7072040 8132846 10608060 12199269 16265692 20332115 21216120 24398538 32531384 40664230 48797076 60996345 81328460 97594152 121992690 162656920 243985380 487970760