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85990432 = 2511244291
BaseRepresentation
bin1010010000000…
…01110000100000
312222210202200211
411020001300200
5134003143212
612311023504
72062622653
oct510016040
9188722624
1085990432
11445a2980
122496ab94
1314a79c18
14b5c589a
1578389a7
hex5201c20

85990432 has 24 divisors (see below), whose sum is σ = 184684752. Its totient is φ = 39086400.

The previous prime is 85990397. The next prime is 85990439. The reversal of 85990432 is 23409958.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85990439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121794 + ... + 122497.

It is an arithmetic number, because the mean of its divisors is an integer number (7695198).

Almost surely, 285990432 is an apocalyptic number.

It is an amenable number.

85990432 is an abundant number, since it is smaller than the sum of its proper divisors (98694320).

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

85990432 is a wasteful number, since it uses less digits than its factorization.

85990432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244312 (or 244304 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 85990432 is about 9273.1026091595. The cubic root of 85990432 is about 441.3841261799.

The spelling of 85990432 in words is "eighty-five million, nine hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 244291 488582 977164 1954328 2687201 3908656 5374402 7817312 10748804 21497608 42995216 85990432