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428223936 = 26372231979
BaseRepresentation
bin11001100001100…
…010110111000000
31002211210000210210
4121201202313000
51334111131221
6110254154120
713416562200
oct3141426700
91084700723
10428223936
111aa7a2a88
12bb4b2940
136a94405a
1440c30400
15278db276
hex19862dc0

428223936 has 168 divisors, whose sum is σ = 1375989120. Its totient is φ = 116971008.

The previous prime is 428223911. The next prime is 428223949. The reversal of 428223936 is 639322824.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 428223894 and 428223903.

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, 215395 + ... + 217373.

Almost surely, 2428223936 is an apocalyptic number.

428223936 is a gapful number since it is divisible by the number (46) 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 428223936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687994560).

428223936 is an abundant number, since it is smaller than the sum of its proper divisors (947765184).

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

428223936 is a wasteful number, since it uses less digits than its factorization.

428223936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2014 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 428223936 is about 20693.5723353896. The cubic root of 428223936 is about 753.7436151480.

The spelling of 428223936 in words is "four hundred twenty-eight million, two hundred twenty-three thousand, nine hundred thirty-six".