Search a number
-
+
499305960 = 233254493089
BaseRepresentation
bin11101110000101…
…100110111101000
31021210112101000100
4131300230313220
52010310242320
6121313505400
715242013336
oct3560546750
91253471010
10499305960
11236932a5a
1211b272260
137c5a121a
144a454b56
152dc7c790
hex1dc2cde8

499305960 has 96 divisors (see below), whose sum is σ = 1626885000. Its totient is φ = 132808704.

The previous prime is 499305941. The next prime is 499305979. The reversal of 499305960 is 69503994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (499305941) and next prime (499305979).

It can be written as a sum of positive squares in 4 ways, for example, as 486731844 + 12574116 = 22062^2 + 3546^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160096 + ... + 163184.

Almost surely, 2499305960 is an apocalyptic number.

499305960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499305960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813442500).

499305960 is an abundant number, since it is smaller than the sum of its proper divisors (1127579040).

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

499305960 is a wasteful number, since it uses less digits than its factorization.

499305960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 499305960 is about 22345.1551795909. The cubic root of 499305960 is about 793.3331159914. Note that the first 3 decimals are identical.

The spelling of 499305960 in words is "four hundred ninety-nine million, three hundred five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 449 898 1347 1796 2245 2694 3089 3592 4041 4490 5388 6178 6735 8082 8980 9267 10776 12356 13470 15445 16164 17960 18534 20205 24712 26940 27801 30890 32328 37068 40410 46335 53880 55602 61780 74136 80820 92670 111204 123560 139005 161640 185340 222408 278010 370680 556020 1112040 1386961 2773922 4160883 5547844 6934805 8321766 11095688 12482649 13869610 16643532 20804415 24965298 27739220 33287064 41608830 49930596 55478440 62413245 83217660 99861192 124826490 166435320 249652980 499305960