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85504302 = 233133492
BaseRepresentation
bin1010001100010…
…11000100101110
312221220001212000
411012023010232
5133342114202
612252353130
72055526452
oct506130456
9187801760
1085504302
11442a0714
12247757a6
1314939880
14b4da662
15778e91c
hex518b12e

85504302 has 48 divisors (see below), whose sum is σ = 205213680. Its totient is φ = 26233632.

The previous prime is 85504301. The next prime is 85504319. The reversal of 85504302 is 20340558.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85504301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244824 + ... + 245172.

It is an arithmetic number, because the mean of its divisors is an integer number (4275285).

Almost surely, 285504302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85504302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102606840).

85504302 is an abundant number, since it is smaller than the sum of its proper divisors (119709378).

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

85504302 is a wasteful number, since it uses less digits than its factorization.

85504302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 85504302 is about 9246.8536270453. The cubic root of 85504302 is about 440.5507943847.

The spelling of 85504302 in words is "eighty-five million, five hundred four thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 349 351 698 702 1047 2094 3141 4537 6282 9074 9423 13611 18846 27222 40833 81666 121801 122499 243602 244998 365403 730806 1096209 1583413 2192418 3166826 3288627 4750239 6577254 9500478 14250717 28501434 42752151 85504302