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65289042 = 232713231733
BaseRepresentation
bin1111100100001…
…1101101010010
311112212000201200
43321003231102
5113203222132
610251212030
71421643030
oct371035522
9145760650
1065289042
1133943695
1219a47016
13106ac490
148957550
155ae9d7c
hex3e43b52

65289042 has 96 divisors (see below), whose sum is σ = 181778688. Its totient is φ = 16460928.

The previous prime is 65289031. The next prime is 65289047. The reversal of 65289042 is 24098256.

It is a happy number.

65289042 is a `hidden beast` number, since 6 + 528 + 90 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65288988 and 65289006.

It is not an unprimeable number, because it can be changed into a prime (65289047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36808 + ... + 38540.

It is an arithmetic number, because the mean of its divisors is an integer number (1893528).

Almost surely, 265289042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65289042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90889344).

65289042 is an abundant number, since it is smaller than the sum of its proper divisors (116489646).

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

65289042 is a wasteful number, since it uses less digits than its factorization.

65289042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65289042 is about 8080.1634884450. The cubic root of 65289042 is about 402.6676734121.

The spelling of 65289042 in words is "sixty-five million, two hundred eighty-nine thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 91 117 126 138 161 182 207 234 273 299 322 414 483 546 598 819 897 966 1449 1638 1733 1794 2093 2691 2898 3466 4186 5199 5382 6279 10398 12131 12558 15597 18837 22529 24262 31194 36393 37674 39859 45058 67587 72786 79718 109179 119577 135174 157703 202761 218358 239154 279013 315406 358731 405522 473109 518167 558026 717462 837039 946218 1036334 1419327 1554501 1674078 2511117 2838654 3109002 3627169 4663503 5022234 7254338 9327006 10881507 21763014 32644521 65289042