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499194400 = 25522921517
BaseRepresentation
bin11101110000010…
…001101000100000
31021210022200222111
4131300101220200
52010243210100
6121311245104
715241040155
oct3560215040
91253280874
10499194400
11236867161
1211b219794
137c562503
144a42622c
152dc596ba
hex1dc11a20

499194400 has 72 divisors (see below), whose sum is σ = 1260739620. Its totient is φ = 192783360.

The previous prime is 499194389. The next prime is 499194401. The reversal of 499194400 is 4491994.

It can be written as a sum of positive squares in 6 ways, for example, as 150700176 + 348494224 = 12276^2 + 18668^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (499194401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12442 + ... + 33958.

Almost surely, 2499194400 is an apocalyptic number.

499194400 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 499194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630369810).

499194400 is an abundant number, since it is smaller than the sum of its proper divisors (761545220).

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

499194400 is a wasteful number, since it uses less digits than its factorization.

499194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21566 (or 21553 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 499194400 is about 22342.6587495759. The cubic root of 499194400 is about 793.2740267477.

The spelling of 499194400 in words is "four hundred ninety-nine million, one hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 21517 23200 43034 86068 107585 172136 215170 344272 430340 537925 623993 688544 860680 1075850 1247986 1721360 2151700 2495972 3119965 3442720 4303400 4991944 6239930 8606800 9983888 12479860 15599825 17213600 19967776 24959720 31199650 49919440 62399300 99838880 124798600 249597200 499194400