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428200097 = 13171937557
BaseRepresentation
bin11001100001011…
…101000010100001
31002211201211002212
4121201131002201
51334104400342
6110253451505
713416432533
oct3141350241
91084654085
10428200097
111aa787086
12bb4a0b95
136a936250
1440c25853
15278d4182
hex1985d0a1

428200097 has 8 divisors (see below), whose sum is σ = 488264616. Its totient is φ = 372010752.

The previous prime is 428200067. The next prime is 428200121. The reversal of 428200097 is 790002824.

It can be written as a sum of positive squares in 4 ways, for example, as 21613201 + 406586896 = 4649^2 + 20164^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428200097 - 212 = 428196001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428200007) 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, 968558 + ... + 968999.

It is an arithmetic number, because the mean of its divisors is an integer number (61033077).

Almost surely, 2428200097 is an apocalyptic number.

It is an amenable number.

428200097 is a deficient number, since it is larger than the sum of its proper divisors (60064519).

428200097 is a wasteful number, since it uses less digits than its factorization.

428200097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937587.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 428200097 is about 20692.9963272601. The cubic root of 428200097 is about 753.7296280523.

The spelling of 428200097 in words is "four hundred twenty-eight million, two hundred thousand, ninety-seven".

Divisors: 1 13 17 221 1937557 25188241 32938469 428200097