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85994608 = 24721923251
BaseRepresentation
bin1010010000000…
…10110001110000
312222210222102111
411020002301300
5134003311413
612311055104
72062641100
oct510026160
9188728374
1085994608
11445a6027
1224971494
1314a7baab
14b5c7200
157839d3d
hex5202c70

85994608 has 120 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 33264000.

The previous prime is 85994603. The next prime is 85994609. The reversal of 85994608 is 80649958.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85994603) 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, 342483 + ... + 342733.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 285994608 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 85994608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

85994608 is an abundant number, since it is smaller than the sum of its proper divisors (127741712).

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

85994608 is a wasteful number, since it uses less digits than its factorization.

85994608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 85994608 is about 9273.3277737822. The cubic root of 85994608 is about 441.3912711232.

The spelling of 85994608 in words is "eighty-five million, nine hundred ninety-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 49 56 76 92 98 112 133 152 161 184 196 251 266 304 322 368 392 437 502 532 644 784 874 931 1004 1064 1127 1288 1748 1757 1862 2008 2128 2254 2576 3059 3496 3514 3724 4016 4508 4769 5773 6118 6992 7028 7448 9016 9538 11546 12236 12299 14056 14896 18032 19076 21413 23092 24472 24598 28112 33383 38152 40411 42826 46184 48944 49196 66766 76304 80822 85652 92368 98392 109687 133532 161644 171304 196784 219374 233681 267064 282877 323288 342608 438748 467362 534128 565754 646576 767809 877496 934724 1131508 1535618 1754992 1869448 2263016 3071236 3738896 4526032 5374663 6142472 10749326 12284944 21498652 42997304 85994608