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85493720 = 23513212647
BaseRepresentation
bin1010001100010…
…00011111011000
312221212112100002
411012020133120
5133341244340
612252232132
72055453554
oct506103730
9187775302
1085493720
1144293774
122476b648
1314934b00
14b4d6864
15778b715
hex51887d8

85493720 has 48 divisors (see below), whose sum is σ = 208312560. Its totient is φ = 31564416.

The previous prime is 85493719. The next prime is 85493729. The reversal of 85493720 is 2739458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85493729) 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, 437 + ... + 13083.

It is an arithmetic number, because the mean of its divisors is an integer number (4339845).

Almost surely, 285493720 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 85493720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104156280).

85493720 is an abundant number, since it is smaller than the sum of its proper divisors (122818840).

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

85493720 is a wasteful number, since it uses less digits than its factorization.

85493720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12684 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 85493720 is about 9246.2814147094. The cubic root of 85493720 is about 440.5326194674.

The spelling of 85493720 in words is "eighty-five million, four hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 12647 25294 50588 63235 101176 126470 164411 252940 328822 505880 657644 822055 1315288 1644110 2137343 3288220 4274686 6576440 8549372 10686715 17098744 21373430 42746860 85493720