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85747904 = 26113492
BaseRepresentation
bin1010001110001…
…10100011000000
312222100110000022
411013012203000
5133422413104
612301513012
72060562614
oct507064300
9188313008
1085747904
1144447740
1224872768
13149c3708
14b561344
1577dbbbe
hex51c68c0

85747904 has 42 divisors (see below), whose sum is σ = 186158124. Its totient is φ = 38864640.

The previous prime is 85747901. The next prime is 85747939. The reversal of 85747904 is 40974758.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (85747901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 245522 + ... + 245870.

Almost surely, 285747904 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 85747904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93079062).

85747904 is an abundant number, since it is smaller than the sum of its proper divisors (100410220).

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

85747904 is an equidigital number, since it uses as much as digits as its factorization.

85747904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 85747904 is about 9260.0164146723. The cubic root of 85747904 is about 440.9687745162.

Multiplying 85747904 by its sum of digits (44), we get a square (3772907776 = 614242).

85747904 divided by its sum of digits (44) gives a square (1948816 = 13962).

The spelling of 85747904 in words is "eighty-five million, seven hundred forty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 349 352 698 704 1396 2792 3839 5584 7678 11168 15356 22336 30712 61424 121801 122848 243602 245696 487204 974408 1339811 1948816 2679622 3897632 5359244 7795264 10718488 21436976 42873952 85747904