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428211936 = 25321486847
BaseRepresentation
bin11001100001011…
…111111011100000
31002211202102100100
4121201133323200
51334110240221
6110254022400
713416512205
oct3141377340
91084672310
10428211936
111aa794a69
12bb4a7a00
136a93b759
1440c29cac
15278d7926
hex1985fee0

428211936 has 36 divisors (see below), whose sum is σ = 1217728512. Its totient is φ = 142737216.

The previous prime is 428211923. The next prime is 428211943. The reversal of 428211936 is 639112824.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 428211936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 743136 + ... + 743711.

It is an arithmetic number, because the mean of its divisors is an integer number (33825792).

Almost surely, 2428211936 is an apocalyptic number.

It is an amenable number.

428211936 is an abundant number, since it is smaller than the sum of its proper divisors (789516576).

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

428211936 is a wasteful number, since it uses less digits than its factorization.

428211936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486863 (or 1486852 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 428211936 is about 20693.2823882534. The cubic root of 428211936 is about 753.7365744331.

The spelling of 428211936 in words is "four hundred twenty-eight million, two hundred eleven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1486847 2973694 4460541 5947388 8921082 11894776 13381623 17842164 23789552 26763246 35684328 47579104 53526492 71368656 107052984 142737312 214105968 428211936