Search a number
-
+
42355602 = 23317293743
BaseRepresentation
bin1010000110010…
…0101110010010
32221200212222000
42201210232102
541320334402
64111454430
71023005502
oct241445622
987625860
1042355602
11219aa433
1212227416
138a0cab3
1458a7a02
153ab9c1c
hex2864b92

42355602 has 128 divisors (see below), whose sum is σ = 108345600. Its totient is φ = 12192768.

The previous prime is 42355597. The next prime is 42355603. The reversal of 42355602 is 20655324.

42355602 is a `hidden beast` number, since 4 + 2 + 3 + 55 + 602 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42355603) 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 63 ways as a sum of consecutive naturals, for example, 984993 + ... + 985035.

It is an arithmetic number, because the mean of its divisors is an integer number (846450).

Almost surely, 242355602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42355602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54172800).

42355602 is an abundant number, since it is smaller than the sum of its proper divisors (65989998).

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

42355602 is a wasteful number, since it uses less digits than its factorization.

42355602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42355602 is about 6508.1181611891. The cubic root of 42355602 is about 348.5809262555.

The spelling of 42355602 in words is "forty-two million, three hundred fifty-five thousand, six hundred two".

Divisors: 1 2 3 6 9 17 18 27 29 34 37 43 51 54 58 74 86 87 102 111 129 153 174 222 258 261 306 333 387 459 493 522 629 666 731 774 783 918 986 999 1073 1161 1247 1258 1462 1479 1566 1591 1887 1998 2146 2193 2322 2494 2958 3182 3219 3741 3774 4386 4437 4773 5661 6438 6579 7482 8874 9546 9657 11223 11322 13158 13311 14319 16983 18241 19314 19737 21199 22446 26622 27047 28638 28971 33669 33966 36482 39474 42398 42957 46139 54094 54723 57942 63597 67338 81141 85914 92278 109446 127194 138417 162282 164169 190791 243423 276834 328338 381582 415251 486846 492507 572373 730269 784363 830502 985014 1144746 1245753 1460538 1568726 2353089 2491506 4706178 7059267 14118534 21177801 42355602