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85040732 = 22717199403
BaseRepresentation
bin1010001000110…
…01111001011100
312221000111221202
411010121321130
5133232300412
612234415032
72051556110
oct504317134
9187014852
1085040732
11440043a7
1224591478
131480687a
14b419740
1576ec3c2
hex5119e5c

85040732 has 48 divisors (see below), whose sum is σ = 189584640. Its totient is φ = 32493312.

The previous prime is 85040723. The next prime is 85040759. The reversal of 85040732 is 23704058.

It is a happy number.

It is a super-3 number, since 3×850407323 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85040695 and 85040704.

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 15 ways as a sum of consecutive naturals, for example, 4343 + ... + 13745.

It is an arithmetic number, because the mean of its divisors is an integer number (3949680).

Almost surely, 285040732 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 85040732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94792320).

85040732 is an abundant number, since it is smaller than the sum of its proper divisors (104543908).

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

85040732 is a wasteful number, since it uses less digits than its factorization.

85040732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 85040732 is about 9221.7531955697. The cubic root of 85040732 is about 439.7531880264.

The spelling of 85040732 in words is "eighty-five million, forty thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 4522 9044 9403 18806 37612 65821 131642 159851 178657 263284 319702 357314 639404 714628 1118957 1250599 2237914 2501198 3037169 4475828 5002396 6074338 12148676 21260183 42520366 85040732