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85074496 = 2613102253
BaseRepresentation
bin1010001001000…
…10001001000000
312221002020021021
411010202021000
5133234340441
612235235224
72052056413
oct504421100
9187066237
1085074496
1144027801
12245a8b14
1314819050
14b427b7a
1577073d1
hex5122240

85074496 has 28 divisors (see below), whose sum is σ = 181807612. Its totient is φ = 39264768.

The previous prime is 85074491. The next prime is 85074499. The reversal of 85074496 is 69447058.

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 36966400 = 6936^2 + 6080^2 .

It is not an unprimeable number, because it can be changed into a prime (85074491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50295 + ... + 51958.

It is an arithmetic number, because the mean of its divisors is an integer number (6493129).

Almost surely, 285074496 is an apocalyptic number.

It is an amenable number.

85074496 is an abundant number, since it is smaller than the sum of its proper divisors (96733116).

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

85074496 is a wasteful number, since it uses less digits than its factorization.

85074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102278 (or 102268 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 85074496 is about 9223.5836853145. The cubic root of 85074496 is about 439.8113792080.

The spelling of 85074496 in words is "eighty-five million, seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 102253 204506 409012 818024 1329289 1636048 2658578 3272096 5317156 6544192 10634312 21268624 42537248 85074496