Search a number
-
+
42947400 = 23352312309
BaseRepresentation
bin1010001111010…
…1001101001000
32222210221202110
42203311031020
541443304100
64132302320
71031022036
oct243651510
988727673
1042947400
1122274021
12124719a0
138b89282
1459bd556
153b85250
hex28f5348

42947400 has 96 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 11078400.

The previous prime is 42947381. The next prime is 42947407. The reversal of 42947400 is 474924.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42947407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17446 + ... + 19754.

It is an arithmetic number, because the mean of its divisors is an integer number (1432200).

Almost surely, 242947400 is an apocalyptic number.

42947400 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 42947400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

42947400 is an abundant number, since it is smaller than the sum of its proper divisors (94543800).

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

42947400 is a wasteful number, since it uses less digits than its factorization.

42947400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42947400 is about 6553.4265846197. The cubic root of 42947400 is about 350.1968960161.

The spelling of 42947400 in words is "forty-two million, nine hundred forty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2309 2325 3100 3720 4618 4650 6200 6927 9236 9300 11545 13854 18472 18600 23090 27708 34635 46180 55416 57725 69270 71579 92360 115450 138540 143158 173175 214737 230900 277080 286316 346350 357895 429474 461800 572632 692700 715790 858948 1073685 1385400 1431580 1717896 1789475 2147370 2863160 3578950 4294740 5368425 7157900 8589480 10736850 14315800 21473700 42947400