Search a number
-
+
82090554 = 23713251599
BaseRepresentation
bin1001110010010…
…01101000111010
312201110122001220
410321021220322
5132003344204
612051252510
72014521030
oct471115072
9181418056
1082090554
1142379937
12235aa136
1314012ac0
14ac8c550
1573181d9
hex4e49a3a

82090554 has 64 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 21528000.

The previous prime is 82090553. The next prime is 82090579. The reversal of 82090554 is 45509028.

It is not an unprimeable number, because it can be changed into a prime (82090553) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 136747 + ... + 137345.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 282090554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82090554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

82090554 is an abundant number, since it is smaller than the sum of its proper divisors (121122246).

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

82090554 is a wasteful number, since it uses less digits than its factorization.

82090554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 82090554 is about 9060.3837667066. The cubic root of 82090554 is about 434.6080125804.

The spelling of 82090554 in words is "eighty-two million, ninety thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 251 273 502 546 599 753 1198 1506 1757 1797 3263 3514 3594 4193 5271 6526 7787 8386 9789 10542 12579 15574 19578 22841 23361 25158 45682 46722 54509 68523 109018 137046 150349 163527 300698 327054 451047 902094 1052443 1954537 2104886 3157329 3909074 5863611 6314658 11727222 13681759 27363518 41045277 82090554