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85888432 = 247766861
BaseRepresentation
bin1010001111010…
…00110110110000
312222121120210001
411013220312300
5133441412212
612304515344
72062016410
oct507506660
9188546701
1085888432
1144533283
122491bb54
1314a42676
14b59a640
157818657
hex51e8db0

85888432 has 20 divisors (see below), whose sum is σ = 190181776. Its totient is φ = 36809280.

The previous prime is 85888423. The next prime is 85888441. The reversal of 85888432 is 23488858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85888423) and next prime (85888441).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 383319 + ... + 383542.

Almost surely, 285888432 is an apocalyptic number.

It is an amenable number.

85888432 is an abundant number, since it is smaller than the sum of its proper divisors (104293344).

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

85888432 is a wasteful number, since it uses less digits than its factorization.

85888432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766876 (or 766870 counting only the distinct ones).

The product of its digits is 491520, while the sum is 46.

The square root of 85888432 is about 9267.6011998791. The cubic root of 85888432 is about 441.2095370130.

It can be divided in two parts, 85888 and 432, that added together give a triangular number (86320 = T415).

The spelling of 85888432 in words is "eighty-five million, eight hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 766861 1533722 3067444 5368027 6134888 10736054 12269776 21472108 42944216 85888432