Search a number
-
+
81321450 = 23527411889
BaseRepresentation
bin1001101100011…
…01110111101010
312200000120001120
410312031313222
5131304241300
612023000110
72005135530
oct466156752
9180016046
1081321450
11419a4011
1223299036
1313b03a02
14ab2c150
1572153a0
hex4d8ddea

81321450 has 96 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 18124800.

The previous prime is 81321439. The next prime is 81321473. The reversal of 81321450 is 5412318.

It is a super-2 number, since 2×813214502 = 13226356460205000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81321450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42106 + ... + 43994.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 281321450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81321450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

81321450 is an abundant number, since it is smaller than the sum of its proper divisors (154913430).

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

81321450 is a wasteful number, since it uses less digits than its factorization.

81321450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 81321450 is about 9017.8406506214. The cubic root of 81321450 is about 433.2464750303.

Adding to 81321450 its reverse (5412318), we get a palindrome (86733768).

The spelling of 81321450 in words is "eighty-one million, three hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 150 175 205 210 246 287 350 410 525 574 615 861 1025 1050 1230 1435 1722 1889 2050 2870 3075 3778 4305 5667 6150 7175 8610 9445 11334 13223 14350 18890 21525 26446 28335 39669 43050 47225 56670 66115 77449 79338 94450 132230 141675 154898 198345 232347 283350 330575 387245 396690 464694 542143 661150 774490 991725 1084286 1161735 1626429 1936225 1983450 2323470 2710715 3252858 3872450 5421430 5808675 8132145 11617350 13553575 16264290 27107150 40660725 81321450