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85367808 = 2103259157
BaseRepresentation
bin1010001011010…
…01110000000000
312221122010121200
411011221300000
5133323232213
612245421200
72054420511
oct505516000
9187563550
1085367808
1144208109
122470a800
13148bc6c6
14b4a2a08
157764273
hex5169c00

85367808 has 132 divisors (see below), whose sum is σ = 252272280. Its totient is φ = 27795456.

The previous prime is 85367803. The next prime is 85367809. The reversal of 85367808 is 80876358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85367803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543666 + ... + 543822.

Almost surely, 285367808 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 85367808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126136140).

85367808 is an abundant number, since it is smaller than the sum of its proper divisors (166904472).

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

85367808 is a wasteful number, since it uses less digits than its factorization.

85367808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85367808 is about 9239.4701146765. The cubic root of 85367808 is about 440.3162464751.

The spelling of 85367808 in words is "eighty-five million, three hundred sixty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 157 177 192 236 256 288 314 354 384 471 472 512 531 576 628 708 768 942 944 1024 1062 1152 1256 1413 1416 1536 1884 1888 2124 2304 2512 2826 2832 3072 3768 3776 4248 4608 5024 5652 5664 7536 7552 8496 9216 9263 10048 11304 11328 15072 15104 16992 18526 20096 22608 22656 27789 30144 30208 33984 37052 40192 45216 45312 55578 60288 60416 67968 74104 80384 83367 90432 90624 111156 120576 135936 148208 160768 166734 180864 181248 222312 241152 271872 296416 333468 361728 444624 482304 543744 592832 666936 723456 889248 1185664 1333872 1446912 1778496 2371328 2667744 3556992 4742656 5335488 7113984 9485312 10670976 14227968 21341952 28455936 42683904 85367808