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85559432 = 2371997829
BaseRepresentation
bin1010001100110…
…00100010001000
312221222212110212
411012120202020
5133400400212
612253500252
72056146260
oct506304210
9187885425
1085559432
1144329082
12247a1688
13149589aa
14b5127a0
1577a0e22
hex5198888

85559432 has 64 divisors (see below), whose sum is σ = 195216000. Its totient is φ = 34338816.

The previous prime is 85559417. The next prime is 85559477. The reversal of 85559432 is 23495558.

It is a self number, because there is not a number n which added to its sum of digits gives 85559432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102794 + ... + 103622.

It is an arithmetic number, because the mean of its divisors is an integer number (3050250).

Almost surely, 285559432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85559432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97608000).

85559432 is an abundant number, since it is smaller than the sum of its proper divisors (109656568).

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

85559432 is a wasteful number, since it uses less digits than its factorization.

85559432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its digits is 216000, while the sum is 41.

The square root of 85559432 is about 9249.8341606755. The cubic root of 85559432 is about 440.6454576421.

The spelling of 85559432 in words is "eighty-five million, five hundred fifty-nine thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 97 133 152 194 266 388 532 679 776 829 1064 1358 1658 1843 2716 3316 3686 5432 5803 6632 7372 11606 12901 14744 15751 23212 25802 31502 46424 51604 63004 80413 103208 110257 126008 160826 220514 321652 441028 562891 643304 882056 1125782 1527847 2251564 3055694 4503128 6111388 10694929 12222776 21389858 42779716 85559432