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499144200 = 233527111717
BaseRepresentation
bin11101110000000…
…101011000001000
31021210020011010020
4131300011120020
52010240103300
6121310220440
715240440622
oct3560053010
91253204106
10499144200
11236832475
1211b1b4720
137c5456c9
144a411c12
152dc498a0
hex1dc05608

499144200 has 96 divisors (see below), whose sum is σ = 1569274560. Its totient is φ = 131219200.

The previous prime is 499144169. The next prime is 499144223. The reversal of 499144200 is 2441994.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36742 + ... + 48458.

It is an arithmetic number, because the mean of its divisors is an integer number (16346610).

Almost surely, 2499144200 is an apocalyptic number.

499144200 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 499144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784637280).

499144200 is an abundant number, since it is smaller than the sum of its proper divisors (1070130360).

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

499144200 is a wasteful number, since it uses less digits than its factorization.

499144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11807 (or 11798 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 499144200 is about 22341.5353098215. The cubic root of 499144200 is about 793.2474347753.

The spelling of 499144200 in words is "four hundred ninety-nine million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1065 1420 1704 1775 2130 2840 3550 4260 5325 7100 8520 10650 11717 14200 21300 23434 35151 42600 46868 58585 70302 93736 117170 140604 175755 234340 281208 292925 351510 468680 585850 703020 831907 878775 1171700 1406040 1663814 1757550 2343400 2495721 3327628 3515100 4159535 4991442 6655256 7030200 8319070 9982884 12478605 16638140 19965768 20797675 24957210 33276280 41595350 49914420 62393025 83190700 99828840 124786050 166381400 249572100 499144200