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498149106 = 2371319311549
BaseRepresentation
bin11101101100010…
…010011011110010
31021201100121002220
4131230102123302
52010011232411
6121233021510
715226124520
oct3554223362
91251317086
10498149106
11236212884
1211a9b4896
137c2877b0
144a233310
152daeeb06
hex1db126f2

498149106 has 128 divisors (see below), whose sum is σ = 1333248000. Its totient is φ = 120372480.

The previous prime is 498149101. The next prime is 498149123. The reversal of 498149106 is 601941894.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (498149101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320820 + ... + 322368.

It is an arithmetic number, because the mean of its divisors is an integer number (10416000).

Almost surely, 2498149106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498149106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666624000).

498149106 is an abundant number, since it is smaller than the sum of its proper divisors (835098894).

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

498149106 is a wasteful number, since it uses less digits than its factorization.

498149106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624.

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 498149106 is about 22319.2541542051. The cubic root of 498149106 is about 792.7199446580.

The spelling of 498149106 in words is "four hundred ninety-eight million, one hundred forty-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 13 14 19 21 26 31 38 39 42 57 62 78 91 93 114 133 182 186 217 247 266 273 399 403 434 494 546 589 651 741 798 806 1178 1209 1302 1482 1549 1729 1767 2418 2821 3098 3458 3534 4123 4647 5187 5642 7657 8246 8463 9294 10374 10843 12369 15314 16926 20137 21686 22971 24738 29431 32529 40274 45942 48019 53599 58862 60411 65058 88293 96038 107198 120822 140959 144057 160797 176586 206017 281918 288114 321594 336133 382603 412034 422877 618051 624247 672266 765206 845754 912361 1008399 1147809 1236102 1248494 1824722 1872741 2016798 2295618 2678221 2737083 3745482 4369729 5356442 5474166 6386527 8034663 8739458 11860693 12773054 13109187 16069326 19159581 23721386 26218374 35582079 38319162 71164158 83024851 166049702 249074553 498149106