Search a number
-
+
42574260 = 22353132267
BaseRepresentation
bin1010001001101…
…0000110110100
32222002222220110
42202122012310
541344334020
64120303020
71024606131
oct242320664
988088813
1042574260
1122039743
1212311a70
138a88491
145923588
153b0e8e0
hex289a1b4

42574260 has 48 divisors (see below), whose sum is σ = 119641536. Its totient is φ = 11311872.

The previous prime is 42574247. The next prime is 42574267. The reversal of 42574260 is 6247524.

It is a super-2 number, since 2×425742602 = 3625135229095200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42574267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17647 + ... + 19913.

It is an arithmetic number, because the mean of its divisors is an integer number (2492532).

Almost surely, 242574260 is an apocalyptic number.

It is an amenable number.

42574260 is an abundant number, since it is smaller than the sum of its proper divisors (77067276).

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

42574260 is a wasteful number, since it uses less digits than its factorization.

42574260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42574260 is about 6524.8954014605. The cubic root of 42574260 is about 349.1797389997.

The spelling of 42574260 in words is "forty-two million, five hundred seventy-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 313 626 939 1252 1565 1878 2267 3130 3756 4534 4695 6260 6801 9068 9390 11335 13602 18780 22670 27204 34005 45340 68010 136020 709571 1419142 2128713 2838284 3547855 4257426 7095710 8514852 10643565 14191420 21287130 42574260