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498638052 = 2233111922091
BaseRepresentation
bin11101101110001…
…001110011100100
31021202021102211000
4131232021303210
52010122404202
6121251313300
715233232153
oct3556116344
91252242730
10498638052
11236517170
1211abab830
137c3c9203
144a31d59a
152db9991c
hex1db89ce4

498638052 has 96 divisors (see below), whose sum is σ = 1484582400. Its totient is φ = 143143200.

The previous prime is 498638051. The next prime is 498638057. The reversal of 498638052 is 250836894.

498638052 is a `hidden beast` number, since 4 + 9 + 8 + 638 + 0 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 498637989 and 498638007.

It is not an unprimeable number, because it can be changed into a prime (498638051) 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, 11527 + ... + 33617.

It is an arithmetic number, because the mean of its divisors is an integer number (15464400).

Almost surely, 2498638052 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 498638052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742291200).

498638052 is an abundant number, since it is smaller than the sum of its proper divisors (985944348).

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

498638052 is a wasteful number, since it uses less digits than its factorization.

498638052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22134 (or 22126 counting only the distinct ones).

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

The square root of 498638052 is about 22330.2049251681. The cubic root of 498638052 is about 792.9792181019.

The spelling of 498638052 in words is "four hundred ninety-eight million, six hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 5643 7524 11286 22091 22572 44182 66273 88364 132546 198819 243001 265092 397638 419729 486002 596457 729003 795276 839458 972004 1192914 1259187 1458006 1678916 2187009 2385828 2518374 2916012 3777561 4374018 4617019 5036748 6561027 7555122 8748036 9234038 11332683 13122054 13851057 15110244 18468076 22665366 26244108 27702114 41553171 45330732 55404228 83106342 124659513 166212684 249319026 498638052