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905468820 = 223567225241
BaseRepresentation
bin110101111110000…
…101101110010100
32100002210120201020
4311332011232110
53323300000240
6225503201140
731303233534
oct6576055624
92302716636
10905468820
11425128143
122132a61b0
1311578c989
14883814c4
155475c0d0
hex35f85b94

905468820 has 48 divisors (see below), whose sum is σ = 2573164608. Its totient is φ = 237853440.

The previous prime is 905468813. The next prime is 905468831. The reversal of 905468820 is 28864509.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108601 + ... + 116640.

It is an arithmetic number, because the mean of its divisors is an integer number (53607596).

Almost surely, 2905468820 is an apocalyptic number.

It is an amenable number.

905468820 is an abundant number, since it is smaller than the sum of its proper divisors (1667695788).

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

905468820 is a wasteful number, since it uses less digits than its factorization.

905468820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225320 (or 225318 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 905468820 is about 30091.0089561650. The cubic root of 905468820 is about 967.4410249224.

The spelling of 905468820 in words is "nine hundred five million, four hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 225241 450482 675723 900964 1126205 1351446 2252410 2702892 3378615 4504820 6757230 13514460 15091147 30182294 45273441 60364588 75455735 90546882 150911470 181093764 226367205 301822940 452734410 905468820