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424926000 = 2434534361
BaseRepresentation
bin11001010100111…
…101101100110000
31002121120110220000
4121110331230300
51332240113000
6110055350000
713346545212
oct3124755460
91077513800
10424926000
111a8950214
12ba382300
136a05ac05
14406125b2
1527489000
hex1953db30

424926000 has 400 divisors, whose sum is σ = 1596305568. Its totient is φ = 108864000.

The previous prime is 424925933. The next prime is 424926017. The reversal of 424926000 is 629424.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6965970 + ... + 6966030.

Almost surely, 2424926000 is an apocalyptic number.

424926000 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 424926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798152784).

424926000 is an abundant number, since it is smaller than the sum of its proper divisors (1171379568).

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

424926000 is a wasteful number, since it uses less digits than its factorization.

424926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 424926000 is about 20613.7332863312. The cubic root of 424926000 is about 751.8036589421.

The spelling of 424926000 in words is "four hundred twenty-four million, nine hundred twenty-six thousand".