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85037328 = 2432590537
BaseRepresentation
bin1010001000110…
…01000100010000
312221000100021200
411010121010100
5133232143303
612234351200
72051543145
oct504310420
9187010250
1085037328
1144001892
122458b500
131480515c
14b4183cc
1576eb3a3
hex5119110

85037328 has 30 divisors (see below), whose sum is σ = 237986814. Its totient is φ = 28345728.

The previous prime is 85037327. The next prime is 85037333. The reversal of 85037328 is 82373058.

It can be written as a sum of positive squares in only one way, i.e., 78004224 + 7033104 = 8832^2 + 2652^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 85037292 and 85037301.

It is not an unprimeable number, because it can be changed into a prime (85037327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295125 + ... + 295412.

Almost surely, 285037328 is an apocalyptic number.

It is an amenable number.

85037328 is an abundant number, since it is smaller than the sum of its proper divisors (152949486).

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

85037328 is a wasteful number, since it uses less digits than its factorization.

85037328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590551 (or 590542 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85037328 is about 9221.5686301193. The cubic root of 85037328 is about 439.7473204858.

The spelling of 85037328 in words is "eighty-five million, thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 590537 1181074 1771611 2362148 3543222 4724296 5314833 7086444 9448592 10629666 14172888 21259332 28345776 42518664 85037328