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487288872 = 2335735809
BaseRepresentation
bin11101000010110…
…111000000101000
31020221220211200000
4131002313000220
51444221220442
6120204143000
715034613160
oct3502670050
91227824600
10487288872
11230075384
12117237a60
1379c54515
1448a075a0
152cba6d4c
hex1d0b7028

487288872 has 96 divisors (see below), whose sum is σ = 1564180800. Its totient is φ = 139221504.

The previous prime is 487288849. The next prime is 487288873. The reversal of 487288872 is 278882784.

487288872 is a `hidden beast` number, since 487 + 2 + 88 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (487288873) 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, 4297 + ... + 31512.

It is an arithmetic number, because the mean of its divisors is an integer number (16293550).

Almost surely, 2487288872 is an apocalyptic number.

487288872 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 487288872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782090400).

487288872 is an abundant number, since it is smaller than the sum of its proper divisors (1076891928).

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

487288872 is a wasteful number, since it uses less digits than its factorization.

487288872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35837 (or 35821 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 487288872 is about 22074.6205403400. The cubic root of 487288872 is about 786.9168253858.

It can be divided in two parts, 48728 and 8872, that added together give a square (57600 = 2402).

The spelling of 487288872 in words is "four hundred eighty-seven million, two hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 35809 71618 107427 143236 214854 250663 286472 322281 429708 501326 644562 751989 859416 966843 1002652 1289124 1503978 1933686 2005304 2255967 2578248 2900529 3007956 3867372 4511934 5801058 6015912 6767901 7734744 8701587 9023868 11602116 13535802 17403174 18047736 20303703 23204232 27071604 34806348 40607406 54143208 60911109 69612696 81214812 121822218 162429624 243644436 487288872