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896576900 = 22528965769
BaseRepresentation
bin110101011100001…
…010110110000100
32022111001211021212
4311130022312010
53314010430100
6224544430552
731134530552
oct6534126604
92274054255
10896576900
1142010454a
12210318458
1311399859b
1487108bd2
1553aa2635
hex3570ad84

896576900 has 18 divisors (see below), whose sum is σ = 1945572090. Its totient is φ = 358630720.

The previous prime is 896576893. The next prime is 896576903. The reversal of 896576900 is 9675698.

It can be written as a sum of positive squares in 3 ways, for example, as 6031936 + 890544964 = 2456^2 + 29842^2 .

It is a super-3 number, since 3×8965769003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (896576903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4482785 + ... + 4482984.

Almost surely, 2896576900 is an apocalyptic number.

It is an amenable number.

896576900 is an abundant number, since it is smaller than the sum of its proper divisors (1048995190).

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

896576900 is a wasteful number, since it uses less digits than its factorization.

896576900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8965783 (or 8965776 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 896576900 is about 29942.8939817113. The cubic root of 896576900 is about 964.2637676892.

The spelling of 896576900 in words is "eight hundred ninety-six million, five hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 8965769 17931538 35863076 44828845 89657690 179315380 224144225 448288450 896576900