Search a number
-
+
420243525 = 33521383577
BaseRepresentation
bin11001000011000…
…110100001000101
31002021202120202000
4121003012201011
51330040243100
6105411135513
713262003532
oct3103064105
91067676660
10420243525
111a62421a9
12b88a4599
13690ab810
143db53d89
1526d61900
hex190c6845

420243525 has 96 divisors (see below), whose sum is σ = 842862720. Its totient is φ = 204042240.

The previous prime is 420243517. The next prime is 420243547. The reversal of 420243525 is 525342024.

It is a happy number.

420243525 is a `hidden beast` number, since 4 + 202 + 435 + 25 = 666.

It is not a de Polignac number, because 420243525 - 23 = 420243517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 728037 + ... + 728613.

It is an arithmetic number, because the mean of its divisors is an integer number (8779820).

Almost surely, 2420243525 is an apocalyptic number.

420243525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420243525 is an abundant number, since it is smaller than the sum of its proper divisors (422619195).

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

420243525 is a wasteful number, since it uses less digits than its factorization.

420243525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 420243525 is about 20499.8420725624. The cubic root of 420243525 is about 749.0319510459.

Adding to 420243525 its reverse (525342024), we get a palindrome (945585549).

The spelling of 420243525 in words is "four hundred twenty million, two hundred forty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 83 117 135 195 225 249 325 351 415 577 585 675 747 975 1079 1245 1731 1755 2075 2241 2885 2925 3237 3735 5193 5395 6225 7501 8655 8775 9711 11205 14425 15579 16185 18675 22503 25965 26975 29133 37505 43275 47891 48555 56025 67509 77895 80925 112515 129825 143673 145665 187525 202527 239455 242775 337545 389475 431019 562575 622583 718365 728325 1012635 1197275 1293057 1687725 1867749 2155095 3112915 3591825 5063175 5603247 6465285 9338745 10775475 15564575 16809741 28016235 32326425 46693725 84048705 140081175 420243525