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42280434 = 2337219292
BaseRepresentation
bin1010000101001…
…0010111110010
32221120001212000
42201102113302
541310433214
64110114430
71022243400
oct241222762
987501760
1042280434
1121958a09
12121aba16
1389b4811
145888470
153aa2809
hex28525f2

42280434 has 144 divisors (see below), whose sum is σ = 119152800. Its totient is φ = 11049696.

The previous prime is 42280423. The next prime is 42280439. The reversal of 42280434 is 43408224.

It is a happy number.

42280434 is a `hidden beast` number, since 4 + 228 + 0 + 434 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42280398 and 42280407.

It is not an unprimeable number, because it can be changed into a prime (42280439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1457932 + ... + 1457960.

It is an arithmetic number, because the mean of its divisors is an integer number (827450).

Almost surely, 242280434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42280434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59576400).

42280434 is an abundant number, since it is smaller than the sum of its proper divisors (76872366).

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

42280434 is a wasteful number, since it uses less digits than its factorization.

42280434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42280434 is about 6502.3406554871. The cubic root of 42280434 is about 348.3745966294.

Adding to 42280434 its reverse (43408224), we get a palindrome (85688658).

The spelling of 42280434 in words is "forty-two million, two hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 29 38 42 49 54 57 58 63 87 98 114 126 133 147 171 174 189 203 261 266 294 342 378 399 406 441 513 522 551 609 783 798 841 882 931 1026 1102 1197 1218 1323 1421 1566 1653 1682 1827 1862 2394 2523 2646 2793 2842 3306 3591 3654 3857 4263 4959 5046 5481 5586 5887 7182 7569 7714 8379 8526 9918 10962 11571 11774 12789 14877 15138 15979 16758 17661 22707 23142 25137 25578 26999 29754 31958 34713 35322 38367 41209 45414 47937 50274 52983 53998 69426 76734 80997 82418 95874 104139 105966 111853 123627 143811 158949 161994 208278 223706 242991 247254 287622 317898 335559 370881 431433 485982 671118 728973 741762 782971 862866 1006677 1112643 1457946 1565942 2013354 2225286 2348913 3020031 4697826 6040062 7046739 14093478 21140217 42280434