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420582204 = 223276012777
BaseRepresentation
bin11001000100011…
…001001100111100
31002022101210022200
4121010121030330
51330132112304
6105422311500
713264614120
oct3104311474
91068353280
10420582204
111a64536a9
12b8a28590
1369199a13
143dc01580
1526dcbe39
hex1911933c

420582204 has 72 divisors (see below), whose sum is σ = 1217475168. Its totient is φ = 119923200.

The previous prime is 420582161. The next prime is 420582241. The reversal of 420582204 is 402285024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150064 + ... + 152840.

Almost surely, 2420582204 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 420582204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608737584).

420582204 is an abundant number, since it is smaller than the sum of its proper divisors (796892964).

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

420582204 is a wasteful number, since it uses less digits than its factorization.

420582204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 420582204 is about 20508.1009359716. The cubic root of 420582204 is about 749.2331147834.

The spelling of 420582204 in words is "four hundred twenty million, five hundred eighty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 601 1202 1803 2404 2777 3606 4207 5409 5554 7212 8331 8414 10818 11108 12621 16662 16828 19439 21636 24993 25242 33324 37863 38878 49986 50484 58317 75726 77756 99972 116634 151452 174951 233268 349902 699804 1668977 3337954 5006931 6675908 10013862 11682839 15020793 20027724 23365678 30041586 35048517 46731356 60083172 70097034 105145551 140194068 210291102 420582204