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85463730 = 232511173499
BaseRepresentation
bin1010001100000…
…01001010110010
312221211000012100
411012001022302
5133334314410
612251441230
72055300252
oct506011262
9187730170
1085463730
1144273190
1224756216
1314924271
14b4c9962
1577828c0
hex51812b2

85463730 has 96 divisors (see below), whose sum is σ = 244296000. Its totient is φ = 20557440.

The previous prime is 85463723. The next prime is 85463731. The reversal of 85463730 is 3736458.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85463731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171021 + ... + 171519.

It is an arithmetic number, because the mean of its divisors is an integer number (2544750).

Almost surely, 285463730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85463730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122148000).

85463730 is an abundant number, since it is smaller than the sum of its proper divisors (158832270).

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

85463730 is a wasteful number, since it uses less digits than its factorization.

85463730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 85463730 is about 9244.6595394314. The cubic root of 85463730 is about 440.4811025515.

The spelling of 85463730 in words is "eighty-five million, four hundred sixty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 173 198 330 346 495 499 519 865 990 998 1038 1497 1557 1730 1903 2495 2595 2994 3114 3806 4491 4990 5190 5489 5709 7485 7785 8982 9515 10978 11418 14970 15570 16467 17127 19030 22455 27445 28545 32934 34254 44910 49401 54890 57090 82335 85635 86327 98802 164670 171270 172654 247005 258981 431635 494010 517962 776943 863270 949597 1294905 1553886 1899194 2589810 2848791 3884715 4747985 5697582 7769430 8546373 9495970 14243955 17092746 28487910 42731865 85463730