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42575260 = 225713149157
BaseRepresentation
bin1010001001101…
…0010110011100
32222010001021111
42202122112130
541344402020
64120311404
71024612060
oct242322634
988101244
1042575260
112203a472
1212312564
138a88a80
145923aa0
153b0ed5a
hex289a59c

42575260 has 96 divisors (see below), whose sum is σ = 111484800. Its totient is φ = 13298688.

The previous prime is 42575251. The next prime is 42575263. The reversal of 42575260 is 6257524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42575263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271102 + ... + 271258.

It is an arithmetic number, because the mean of its divisors is an integer number (1161300).

Almost surely, 242575260 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 42575260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55742400).

42575260 is an abundant number, since it is smaller than the sum of its proper divisors (68909540).

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

42575260 is a wasteful number, since it uses less digits than its factorization.

42575260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 42575260 is about 6524.9720305914. The cubic root of 42575260 is about 349.1824728660.

The spelling of 42575260 in words is "forty-two million, five hundred seventy-five thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 149 157 182 260 298 314 364 455 596 628 745 785 910 1043 1099 1490 1570 1820 1937 2041 2086 2198 2980 3140 3874 4082 4172 4396 5215 5495 7748 8164 9685 10205 10430 10990 13559 14287 19370 20410 20860 21980 23393 27118 28574 38740 40820 46786 54236 57148 67795 71435 93572 116965 135590 142870 163751 233930 271180 285740 304109 327502 467860 608218 655004 818755 1216436 1520545 1637510 2128763 3041090 3275020 4257526 6082180 8515052 10643815 21287630 42575260