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42493302 = 23317411129
BaseRepresentation
bin1010001000011…
…0010101110110
32221221212212000
42202012111312
541334241202
64114440130
71024121115
oct242062566
987855760
1042493302
1121a93935
1212293046
138a5a687
145901c7c
153ae591c
hex2886576

42493302 has 64 divisors (see below), whose sum is σ = 102513600. Its totient is φ = 12994560.

The previous prime is 42493289. The next prime is 42493303. The reversal of 42493302 is 20339424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42493303) 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, 37074 + ... + 38202.

It is an arithmetic number, because the mean of its divisors is an integer number (1601775).

Almost surely, 242493302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42493302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51256800).

42493302 is an abundant number, since it is smaller than the sum of its proper divisors (60020298).

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

42493302 is a wasteful number, since it uses less digits than its factorization.

42493302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42493302 is about 6518.6886718112. The cubic root of 42493302 is about 348.9582684781.

The spelling of 42493302 in words is "forty-two million, four hundred ninety-three thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 82 102 123 153 246 306 369 459 697 738 918 1107 1129 1394 2091 2214 2258 3387 4182 6273 6774 10161 12546 18819 19193 20322 30483 37638 38386 46289 57579 60966 92578 115158 138867 172737 277734 345474 416601 518211 786913 833202 1036422 1249803 1573826 2360739 2499606 4721478 7082217 14164434 21246651 42493302