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424650240 = 2932572633
BaseRepresentation
bin11001010011111…
…010011000000000
31002121001110121200
4121103322120000
51332202301430
6110045421200
713344316230
oct3123723000
91077043550
10424650240
111a8782013
12ba26a800
1369c92541
144057dcc0
1527432460
hex194fa600

424650240 has 240 divisors, whose sum is σ = 1681419168. Its totient is φ = 97026048.

The previous prime is 424650229. The next prime is 424650251. The reversal of 424650240 is 42056424.

424650240 is a `hidden beast` number, since 4 + 2 + 4 + 650 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (424650229) and next prime (424650251).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159964 + ... + 162596.

Almost surely, 2424650240 is an apocalyptic number.

424650240 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 424650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840709584).

424650240 is an abundant number, since it is smaller than the sum of its proper divisors (1256768928).

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

424650240 is a wasteful number, since it uses less digits than its factorization.

424650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 424650240 is about 20607.0434560613. The cubic root of 424650240 is about 751.6409935682.

The spelling of 424650240 in words is "four hundred twenty-four million, six hundred fifty thousand, two hundred forty".