Search a number
-
+
42754866 = 23711247179
BaseRepresentation
bin1010001100011…
…0001100110010
32222110011122120
42203012030302
541421123431
64124215110
71026260520
oct243061462
988404576
1042754866
1122152400
121239a496
138b1c74b
14596d310
153b48196
hex28c6332

42754866 has 96 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 10808160.

The previous prime is 42754781. The next prime is 42754867. The reversal of 42754866 is 66845724.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42754867) 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 47 ways as a sum of consecutive naturals, for example, 238765 + ... + 238943.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 242754866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42754866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

42754866 is an abundant number, since it is smaller than the sum of its proper divisors (67560654).

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

42754866 is a wasteful number, since it uses less digits than its factorization.

42754866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 42754866 is about 6538.7205170431. The cubic root of 42754866 is about 349.6727989700.

The spelling of 42754866 in words is "forty-two million, seven hundred fifty-four thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 121 141 154 179 231 242 282 329 358 363 462 517 537 658 726 847 987 1034 1074 1253 1551 1694 1969 1974 2506 2541 3102 3619 3759 3938 5082 5687 5907 7238 7518 8413 10857 11374 11814 13783 16826 17061 21659 21714 25239 27566 34122 39809 41349 43318 50478 58891 64977 79618 82698 92543 117782 119427 129954 151613 176673 185086 238854 277629 303226 353346 454839 555258 647801 909678 1017973 1295602 1943403 2035946 3053919 3886806 6107838 7125811 14251622 21377433 42754866