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85300432 = 247761611
BaseRepresentation
bin1010001010110…
…01010011010000
312221111201012021
411011121103100
5133314103212
612244141224
72054020210
oct505312320
9187451167
1085300432
1144171528
1224697814
1314897b39
14b486240
15774e307
hex51594d0

85300432 has 20 divisors (see below), whose sum is σ = 188879776. Its totient is φ = 36557280.

The previous prime is 85300363. The next prime is 85300451. The reversal of 85300432 is 23400358.

It is a junction number, because it is equal to n+sod(n) for n = 85300397 and 85300406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 380694 + ... + 380917.

Almost surely, 285300432 is an apocalyptic number.

It is an amenable number.

85300432 is an abundant number, since it is smaller than the sum of its proper divisors (103579344).

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

85300432 is a wasteful number, since it uses less digits than its factorization.

85300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761626 (or 761620 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 85300432 is about 9235.8232984396. The cubic root of 85300432 is about 440.2003770535.

The spelling of 85300432 in words is "eighty-five million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 761611 1523222 3046444 5331277 6092888 10662554 12185776 21325108 42650216 85300432