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845816640 = 26351751827
BaseRepresentation
bin110010011010100…
…010001101000000
32011221112221022020
4302122202031000
53213012113030
6215532441440
726650215504
oct6232421500
92157487266
10845816640
113a4494619
121b7319280
13106305126
1480494304
154e3c7510
hex326a2340

845816640 has 112 divisors (see below), whose sum is σ = 2843491392. Its totient is φ = 212279296.

The previous prime is 845816599. The next prime is 845816641. The reversal of 845816640 is 46618548.

It is a junction number, because it is equal to n+sod(n) for n = 845816592 and 845816601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845816641) 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 15 ways as a sum of consecutive naturals, for example, 9594 + ... + 42233.

It is an arithmetic number, because the mean of its divisors is an integer number (25388316).

Almost surely, 2845816640 is an apocalyptic number.

845816640 is a gapful number since it is divisible by the number (80) 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 845816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421745696).

845816640 is an abundant number, since it is smaller than the sum of its proper divisors (1997674752).

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

845816640 is a wasteful number, since it uses less digits than its factorization.

845816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51864 (or 51854 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 845816640 is about 29082.9269503604. The cubic root of 845816640 is about 945.7116556435.

The spelling of 845816640 in words is "eight hundred forty-five million, eight hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 51827 103654 155481 207308 259135 310962 414616 518270 621924 777405 829232 881059 1036540 1243848 1554810 1658464 1762118 2073080 2487696 2643177 3109620 3316928 3524236 4146160 4405295 4975392 5286354 6219240 7048472 8292320 8810590 9950784 10572708 12438480 13215885 14096944 16584640 17621180 21145416 24876960 26431770 28193888 35242360 42290832 49753920 52863540 56387776 70484720 84581664 105727080 140969440 169163328 211454160 281938880 422908320 845816640