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42848680 = 2357199769
BaseRepresentation
bin1010001101110…
…1000110101000
32222121221100011
42203131012220
541432124210
64130221304
71030131160
oct243350650
988557304
1042848680
1122206936
1212424834
138b53364
1459955a0
153b65d8a
hex28dd1a8

42848680 has 64 divisors (see below), whose sum is σ = 110880000. Its totient is φ = 14598144.

The previous prime is 42848677. The next prime is 42848681. The reversal of 42848680 is 8684824.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42848681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55336 + ... + 56104.

It is an arithmetic number, because the mean of its divisors is an integer number (1732500).

Almost surely, 242848680 is an apocalyptic number.

42848680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42848680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440000).

42848680 is an abundant number, since it is smaller than the sum of its proper divisors (68031320).

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

42848680 is a wasteful number, since it uses less digits than its factorization.

42848680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 42848680 is about 6545.8903137770. The cubic root of 42848680 is about 349.9283662923.

The spelling of 42848680 in words is "forty-two million, eight hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 280 398 769 796 995 1393 1538 1592 1990 2786 3076 3845 3980 5383 5572 6152 6965 7690 7960 10766 11144 13930 15380 21532 26915 27860 30760 43064 53830 55720 107660 153031 215320 306062 612124 765155 1071217 1224248 1530310 2142434 3060620 4284868 5356085 6121240 8569736 10712170 21424340 42848680