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426014424 = 2333111753199
BaseRepresentation
bin11001011001000…
…111011011011000
31002200121202221000
4121121013123120
51333024430144
6110134545000
713362030363
oct3131073330
91080552830
10426014424
111a9523a40
12ba808160
136a34c454
14408170da
1527601769
hex196476d8

426014424 has 256 divisors, whose sum is σ = 1399680000. Its totient is φ = 118609920.

The previous prime is 426014419. The next prime is 426014429. The reversal of 426014424 is 424410624.

426014424 = T7071 + T7072 + ... + T7087.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426014419) and next prime (426014429).

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 (426014429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140677 + ... + 2140875.

It is an arithmetic number, because the mean of its divisors is an integer number (5467500).

Almost surely, 2426014424 is an apocalyptic number.

426014424 is a gapful number since it is divisible by the number (44) 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 426014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699840000).

426014424 is an abundant number, since it is smaller than the sum of its proper divisors (973665576).

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

426014424 is a wasteful number, since it uses less digits than its factorization.

426014424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 426014424 is about 20640.1168601343. The cubic root of 426014424 is about 752.4450125565.

The spelling of 426014424 in words is "four hundred twenty-six million, fourteen thousand, four hundred twenty-four".