Search a number
-
+
81750942 = 232713291721
BaseRepresentation
bin1001101111101…
…10101110011110
312200211101012200
410313312232132
5131412012232
612040112330
72011604640
oct467665636
9180741180
1081750942
1142167769
12234656a6
1313c24350
14ac00890
15729c77c
hex4df6b9e

81750942 has 96 divisors (see below), whose sum is σ = 225650880. Its totient is φ = 20805120.

The previous prime is 81750941. The next prime is 81750953. The reversal of 81750942 is 24905718.

It is a junction number, because it is equal to n+sod(n) for n = 81750897 and 81750906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81750941) 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, 46642 + ... + 48362.

It is an arithmetic number, because the mean of its divisors is an integer number (2350530).

Almost surely, 281750942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81750942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112825440).

81750942 is an abundant number, since it is smaller than the sum of its proper divisors (143899938).

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

81750942 is a wasteful number, since it uses less digits than its factorization.

81750942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 81750942 is about 9041.6227525815. The cubic root of 81750942 is about 434.0078537799.

The spelling of 81750942 in words is "eighty-one million, seven hundred fifty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 174 182 203 234 261 273 377 406 522 546 609 754 819 1131 1218 1638 1721 1827 2262 2639 3393 3442 3654 5163 5278 6786 7917 10326 12047 15489 15834 22373 23751 24094 30978 36141 44746 47502 49909 67119 72282 99818 108423 134238 149727 156611 201357 216846 299454 313222 349363 402714 449181 469833 648817 698726 898362 939666 1048089 1297634 1409499 1946451 2096178 2818998 3144267 3892902 4541719 5839353 6288534 9083438 11678706 13625157 27250314 40875471 81750942