Search a number
-
+
498082536 = 233271795521
BaseRepresentation
bin11101101100000…
…010001011101000
31021201020012210100
4131230002023220
52010002120121
6121231345400
715225426450
oct3554021350
91251205710
10498082536
11236177866
1211a982260
137c2633c3
144a216d60
152dada026
hex1db022e8

498082536 has 96 divisors (see below), whose sum is σ = 1550577600. Its totient is φ = 141488640.

The previous prime is 498082517. The next prime is 498082561. The reversal of 498082536 is 635280894.

It is a junction number, because it is equal to n+sod(n) for n = 498082491 and 498082500.

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 23 ways as a sum of consecutive naturals, for example, 87456 + ... + 92976.

It is an arithmetic number, because the mean of its divisors is an integer number (16151850).

Almost surely, 2498082536 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 498082536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775288800).

498082536 is an abundant number, since it is smaller than the sum of its proper divisors (1052495064).

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

498082536 is a wasteful number, since it uses less digits than its factorization.

498082536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 498082536 is about 22317.7627911043. The cubic root of 498082536 is about 792.6846314576.

The spelling of 498082536 in words is "four hundred ninety-eight million, eighty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 179 252 358 504 537 716 1074 1253 1432 1611 2148 2506 3222 3759 4296 5012 5521 6444 7518 10024 11042 11277 12888 15036 16563 22084 22554 30072 33126 38647 44168 45108 49689 66252 77294 90216 99378 115941 132504 154588 198756 231882 309176 347823 397512 463764 695646 927528 988259 1391292 1976518 2782584 2964777 3953036 5929554 6917813 7906072 8894331 11859108 13835626 17788662 20753439 23718216 27671252 35577324 41506878 55342504 62260317 71154648 83013756 124520634 166027512 249041268 498082536