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424100000 = 25554241
BaseRepresentation
bin11001010001110…
…100000010100000
31002120000111211102
4121101310002200
51332032200000
6110025533532
713336535102
oct3121640240
91076014742
10424100000
111a8436675
12ba0442a8
1369b2bc5c
1440479572
15273743d5
hex194740a0

424100000 has 72 divisors (see below), whose sum is σ = 1043862876. Its totient is φ = 169600000.

The previous prime is 424099987. The next prime is 424100021. The reversal of 424100000 is 1424.

It can be written as a sum of positive squares in 6 ways, for example, as 234256 + 423865744 = 484^2 + 20588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97880 + ... + 102120.

Almost surely, 2424100000 is an apocalyptic number.

424100000 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 424100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521931438).

424100000 is an abundant number, since it is smaller than the sum of its proper divisors (619762876).

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

424100000 is an frugal number, since it uses more digits than its factorization.

424100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 424100000 is about 20593.6883534737. The cubic root of 424100000 is about 751.3162072984.

Adding to 424100000 its reverse (1424), we get a palindrome (424101424).

The spelling of 424100000 in words is "four hundred twenty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 4241 5000 6250 8482 10000 12500 16964 20000 21205 25000 33928 42410 50000 67856 84820 100000 106025 135712 169640 212050 339280 424100 530125 678560 848200 1060250 1696400 2120500 2650625 3392800 4241000 5301250 8482000 10602500 13253125 16964000 21205000 26506250 42410000 53012500 84820000 106025000 212050000 424100000