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818004940 = 225411795573
BaseRepresentation
bin110000110000011…
…100001111001100
32010000012221211021
4300300130033030
53133402124230
6213100403524
726161633024
oct6060341714
92100187737
10818004940
1138a819245
121a9b465a4
131006181bc
147a8d4a84
154bc31c7a
hex30c1c3cc

818004940 has 48 divisors (see below), whose sum is σ = 1769856480. Its totient is φ = 317381120.

The previous prime is 818004881. The next prime is 818004989. The reversal of 818004940 is 49400818.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 818004896 and 818004905.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143994 + ... + 149566.

It is an arithmetic number, because the mean of its divisors is an integer number (36872010).

Almost surely, 2818004940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818004940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884928240).

818004940 is an abundant number, since it is smaller than the sum of its proper divisors (951851540).

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

818004940 is a wasteful number, since it uses less digits than its factorization.

818004940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5802 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 818004940 is about 28600.7856535446. The cubic root of 818004940 is about 935.2304578386.

The spelling of 818004940 in words is "eight hundred eighteen million, four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 179 205 358 410 716 820 895 1790 3580 5573 7339 11146 14678 22292 27865 29356 36695 55730 73390 111460 146780 228493 456986 913972 997567 1142465 1995134 2284930 3990268 4569860 4987835 9975670 19951340 40900247 81800494 163600988 204501235 409002470 818004940