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42580993 = 713491953
BaseRepresentation
bin1010001001101…
…1110000000001
32222010100010211
42202123300001
541400042433
64120354121
71024634560
oct242336001
988110124
1042580993
1122043804
1212315941
138a8b570
145925bd7
153b118cd
hex289bc01

42580993 has 16 divisors (see below), whose sum is σ = 52569216. Its totient is φ = 33586560.

The previous prime is 42580991. The next prime is 42581003. The reversal of 42580993 is 39908524.

It is a happy number.

It is not a de Polignac number, because 42580993 - 21 = 42580991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42580991) 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, 44205 + ... + 45157.

It is an arithmetic number, because the mean of its divisors is an integer number (3285576).

Almost surely, 242580993 is an apocalyptic number.

It is an amenable number.

42580993 is a deficient number, since it is larger than the sum of its proper divisors (9988223).

42580993 is a wasteful number, since it uses less digits than its factorization.

42580993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 42580993 is about 6525.4113280314. The cubic root of 42580993 is about 349.1981452954.

It can be divided in two parts, 425 and 80993, that added together give a palindrome (81418).

The spelling of 42580993 in words is "forty-two million, five hundred eighty thousand, nine hundred ninety-three".

Divisors: 1 7 13 91 491 953 3437 6383 6671 12389 44681 86723 467923 3275461 6082999 42580993