Search a number
-
+
499535106 = 237217891123
BaseRepresentation
bin11101110001100…
…100110100000010
31021210222000100020
4131301210310002
52010340110411
6121322434310
715243656400
oct3561446402
91253860306
10499535106
11236a7a134
1211b362996
137c651605
144a4b4470
152dcc5606
hex1dc64d02

499535106 has 96 divisors (see below), whose sum is σ = 1245481920. Its totient is φ = 132701184.

The previous prime is 499535093. The next prime is 499535107. The reversal of 499535106 is 601535994.

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

It is not an unprimeable number, because it can be changed into a prime (499535107) 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 47 ways as a sum of consecutive naturals, for example, 444261 + ... + 445383.

It is an arithmetic number, because the mean of its divisors is an integer number (12973770).

Almost surely, 2499535106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499535106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622740960).

499535106 is an abundant number, since it is smaller than the sum of its proper divisors (745946814).

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

499535106 is a wasteful number, since it uses less digits than its factorization.

499535106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 499535106 is about 22350.2820116436. The cubic root of 499535106 is about 793.4544586300.

The spelling of 499535106 in words is "four hundred ninety-nine million, five hundred thirty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 89 98 102 119 147 178 238 267 294 357 534 623 714 833 1123 1246 1513 1666 1869 2246 2499 3026 3369 3738 4361 4539 4998 6738 7861 8722 9078 10591 13083 15722 19091 21182 23583 26166 31773 38182 47166 55027 57273 63546 74137 99947 110054 114546 133637 148274 165081 199894 222411 267274 299841 330162 400911 444822 599682 699629 801822 935459 1399258 1699099 1870918 2098887 2806377 3398198 4197774 4897403 5097297 5612754 9794806 10194594 11893693 14692209 23787386 29384418 35681079 71362158 83255851 166511702 249767553 499535106