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85383432 = 233210711083
BaseRepresentation
bin1010001011011…
…01100100001000
312221122221001100
411011231210020
5133324232212
612250021400
72054514201
oct505554410
9187587040
1085383432
1144218922
1224717860
13148c6854
14b4a85a8
157768bdc
hex516d908

85383432 has 48 divisors (see below), whose sum is σ = 233429040. Its totient is φ = 28192608.

The previous prime is 85383421. The next prime is 85383449. The reversal of 85383432 is 23438358.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2163 + ... + 13245.

It is an arithmetic number, because the mean of its divisors is an integer number (4863105).

Almost surely, 285383432 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 85383432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116714520).

85383432 is an abundant number, since it is smaller than the sum of its proper divisors (148045608).

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

85383432 is a wasteful number, since it uses less digits than its factorization.

85383432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11202 (or 11195 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 85383432 is about 9240.3155790265. The cubic root of 85383432 is about 440.3431070351.

The spelling of 85383432 in words is "eighty-five million, three hundred eighty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 11083 22166 33249 44332 66498 88664 99747 132996 199494 265992 398988 797976 1185881 2371762 3557643 4743524 7115286 9487048 10672929 14230572 21345858 28461144 42691716 85383432