Search a number
-
+
42860600 = 2352312223
BaseRepresentation
bin1010001110000…
…0000000111000
32222122112200122
42203200000320
541433014400
64130352412
71030211006
oct243400070
988575618
1042860600
1122214892
121242b708
138b58903
145999a76
153b69685
hex28e0038

42860600 has 72 divisors (see below), whose sum is σ = 103430880. Its totient is φ = 16516800.

The previous prime is 42860557. The next prime is 42860617. The reversal of 42860600 is 606824.

It is a self number, because there is not a number n which added to its sum of digits gives 42860600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 192089 + ... + 192311.

It is an arithmetic number, because the mean of its divisors is an integer number (1436540).

Almost surely, 242860600 is an apocalyptic number.

42860600 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 42860600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51715440).

42860600 is an abundant number, since it is smaller than the sum of its proper divisors (60570280).

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

42860600 is a wasteful number, since it uses less digits than its factorization.

42860600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 42860600 is about 6546.8007454023. The cubic root of 42860600 is about 349.9608119390.

The spelling of 42860600 in words is "forty-two million, eight hundred sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 223 248 310 446 620 775 892 961 1115 1240 1550 1784 1922 2230 3100 3844 4460 4805 5575 6200 6913 7688 8920 9610 11150 13826 19220 22300 24025 27652 34565 38440 44600 48050 55304 69130 96100 138260 172825 192200 214303 276520 345650 428606 691300 857212 1071515 1382600 1714424 2143030 4286060 5357575 8572120 10715150 21430300 42860600