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420463500 = 22353594751
BaseRepresentation
bin11001000011111…
…100001110001100
31002022011202111020
4121003330032030
51330114313000
6105415554140
713263611052
oct3103741614
91068152436
10420463500
111a63824a6
12b898b950
1369157992
143dbb01d2
1526da6ba0
hex190fc38c

420463500 has 96 divisors (see below), whose sum is σ = 1245404160. Its totient is φ = 110200000.

The previous prime is 420463493. The next prime is 420463513. The reversal of 420463500 is 5364024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86125 + ... + 90875.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 2420463500 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 420463500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

420463500 is an abundant number, since it is smaller than the sum of its proper divisors (824940660).

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

420463500 is a wasteful number, since it uses less digits than its factorization.

420463500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 420463500 is about 20505.2066558716. The cubic root of 420463500 is about 749.1626209653.

The spelling of 420463500 in words is "four hundred twenty million, four hundred sixty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 125 150 177 236 250 295 300 354 375 500 590 708 750 885 1180 1475 1500 1770 2950 3540 4425 4751 5900 7375 8850 9502 14253 14750 17700 19004 22125 23755 28506 29500 44250 47510 57012 71265 88500 95020 118775 142530 237550 280309 285060 356325 475100 560618 593875 712650 840927 1121236 1187750 1401545 1425300 1681854 1781625 2375500 2803090 3363708 3563250 4204635 5606180 7007725 7126500 8409270 14015450 16818540 21023175 28030900 35038625 42046350 70077250 84092700 105115875 140154500 210231750 420463500