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426003840 = 2733589277
BaseRepresentation
bin11001011001000…
…100110110000000
31002200121020102000
4121121010312000
51333024110330
6110134424000
713361654463
oct3131046600
91080536360
10426003840
111a9516a99
12ba802000
136a3476a2
14408132da
15275ed560
hex19644d80

426003840 has 256 divisors, whose sum is σ = 1531224000. Its totient is φ = 111919104.

The previous prime is 426003827. The next prime is 426003841. The reversal of 426003840 is 48300624.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426003841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537782 + ... + 1538058.

Almost surely, 2426003840 is an apocalyptic number.

426003840 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 426003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765612000).

426003840 is an abundant number, since it is smaller than the sum of its proper divisors (1105220160).

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

426003840 is a wasteful number, since it uses less digits than its factorization.

426003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 426003840 is about 20639.8604646446. The cubic root of 426003840 is about 752.4387811994.

The spelling of 426003840 in words is "four hundred twenty-six million, three thousand, eight hundred forty".