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428938336 = 2537615939
BaseRepresentation
bin11001100100010…
…001010001100000
31002220010022210001
4121210101101200
51334302011321
6110321345344
713425626041
oct3144212140
91086108701
10428938336
112001407a2
12bb798254
136ab34288
1440d788c8
15279ccc91
hex19911460

428938336 has 48 divisors (see below), whose sum is σ = 881662320. Its totient is φ = 205217280.

The previous prime is 428938327. The next prime is 428938337. The reversal of 428938336 is 633839824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428938337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69255 + ... + 75193.

It is an arithmetic number, because the mean of its divisors is an integer number (18367965).

Almost surely, 2428938336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428938336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440831160).

428938336 is an abundant number, since it is smaller than the sum of its proper divisors (452723984).

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

428938336 is a wasteful number, since it uses less digits than its factorization.

428938336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047 (or 6039 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The square root of 428938336 is about 20710.8265407250. The cubic root of 428938336 is about 754.1625355831.

The spelling of 428938336 in words is "four hundred twenty-eight million, nine hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 244 296 488 592 976 1184 1952 2257 4514 5939 9028 11878 18056 23756 36112 47512 72224 95024 190048 219743 362279 439486 724558 878972 1449116 1757944 2898232 3515888 5796464 7031776 11592928 13404323 26808646 53617292 107234584 214469168 428938336