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499896360 = 23345277557
BaseRepresentation
bin11101110010111…
…101000000101000
31021211122100220000
4131302331000220
52010433140420
6121334303000
715250022535
oct3562750050
91254570800
10499896360
112371a6597
1211b4b7a60
137c749b82
144a569d8c
152dd47690
hex1dcbd028

499896360 has 160 divisors (see below), whose sum is σ = 1689300360. Its totient is φ = 132585984.

The previous prime is 499896337. The next prime is 499896367. The reversal of 499896360 is 63698994.

It is a happy number.

499896360 is a `hidden beast` number, since 499 + 8 + 96 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 200675556 + 299220804 = 14166^2 + 17298^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 499896297 and 499896306.

It is not an unprimeable number, because it can be changed into a prime (499896367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 897202 + ... + 897758.

Almost surely, 2499896360 is an apocalyptic number.

499896360 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 499896360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844650180).

499896360 is an abundant number, since it is smaller than the sum of its proper divisors (1189404000).

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

499896360 is a wasteful number, since it uses less digits than its factorization.

499896360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 499896360 is about 22358.3621940427. The cubic root of 499896360 is about 793.6456827796.

The spelling of 499896360 in words is "four hundred ninety-nine million, eight hundred ninety-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 277 324 360 405 540 554 557 648 810 831 1080 1108 1114 1385 1620 1662 1671 2216 2228 2493 2770 2785 3240 3324 3342 4155 4456 4986 5013 5540 5570 6648 6684 7479 8310 8355 9972 10026 11080 11140 12465 13368 14958 15039 16620 16710 19944 20052 22280 22437 24930 25065 29916 30078 33240 33420 37395 40104 44874 45117 49860 50130 59832 60156 66840 74790 75195 89748 90234 99720 100260 112185 120312 149580 150390 154289 179496 180468 200520 224370 225585 299160 300780 308578 360936 448740 451170 462867 601560 617156 771445 897480 902340 925734 1234312 1388601 1542890 1804680 1851468 2314335 2777202 3085780 3702936 4165803 4628670 5554404 6171560 6943005 8331606 9257340 11108808 12497409 13886010 16663212 18514680 20829015 24994818 27772020 33326424 41658030 49989636 55544040 62487045 83316060 99979272 124974090 166632120 249948180 499896360