Search a number
-
+
81958404 = 223113797173
BaseRepresentation
bin1001110001010…
…01011000000100
312201012220210110
410320221120010
5131440132104
612044353020
72013430533
oct470513004
9181186713
1081958404
1142299620
1223545770
1313c978c8
14ac5631a
1572dde89
hex4e29604

81958404 has 96 divisors (see below), whose sum is σ = 217719936. Its totient is φ = 23777280.

The previous prime is 81958403. The next prime is 81958417. The reversal of 81958404 is 40485918.

It is not an unprimeable number, because it can be changed into a prime (81958403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473662 + ... + 473834.

It is an arithmetic number, because the mean of its divisors is an integer number (2267916).

Almost surely, 281958404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81958404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108859968).

81958404 is an abundant number, since it is smaller than the sum of its proper divisors (135761532).

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

81958404 is a wasteful number, since it uses less digits than its factorization.

81958404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 81958404 is about 9053.0880919165. The cubic root of 81958404 is about 434.3746755618.

The spelling of 81958404 in words is "eighty-one million, nine hundred fifty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 97 111 132 148 173 194 222 291 346 388 407 444 519 582 692 814 1038 1067 1164 1221 1628 1903 2076 2134 2442 3201 3589 3806 4268 4884 5709 6401 6402 7178 7612 10767 11418 12802 12804 14356 16781 19203 21534 22836 25604 33562 38406 39479 43068 50343 67124 70411 76812 78958 100686 118437 140822 157916 184591 201372 211233 236874 281644 369182 422466 473748 553773 620897 738364 844932 1107546 1241794 1862691 2215092 2483588 3725382 6829867 7450764 13659734 20489601 27319468 40979202 81958404