Search a number
-
+
81275850 = 232521091657
BaseRepresentation
bin1001101100000…
…10101111001010
312122221020111200
410312002233022
5131301311400
612022005030
72004555555
oct466025712
9178836450
1081275850
1141972827
1223276776
1313ab9026
14ab1969c
157206b00
hex4d82bca

81275850 has 72 divisors (see below), whose sum is σ = 220497420. Its totient is φ = 21461760.

The previous prime is 81275849. The next prime is 81275879. The reversal of 81275850 is 5857218.

It can be written as a sum of positive squares in 6 ways, for example, as 29909961 + 51365889 = 5469^2 + 7167^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48222 + ... + 49878.

Almost surely, 281275850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81275850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110248710).

81275850 is an abundant number, since it is smaller than the sum of its proper divisors (139221570).

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

81275850 is a wasteful number, since it uses less digits than its factorization.

81275850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 81275850 is about 9015.3119746352. The cubic root of 81275850 is about 433.1654806839.

The spelling of 81275850 in words is "eighty-one million, two hundred seventy-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 109 150 218 225 327 450 545 654 981 1090 1635 1657 1962 2725 3270 3314 4905 4971 5450 8175 8285 9810 9942 14913 16350 16570 24525 24855 29826 41425 49050 49710 74565 82850 124275 149130 180613 248550 361226 372825 541839 745650 903065 1083678 1625517 1806130 2709195 3251034 4515325 5418390 8127585 9030650 13545975 16255170 27091950 40637925 81275850