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845753680 = 245291073407
BaseRepresentation
bin110010011010010…
…010110101010000
32011221102201221101
4302122102311100
53213003104210
6215531234144
726646534112
oct6232226520
92157381841
10845753680
113a4451292
121b72a8954
131062b2585
14804793b2
154e3b3a3a
hex32692d50

845753680 has 80 divisors (see below), whose sum is σ = 2053797120. Its totient is φ = 323488256.

The previous prime is 845753653. The next prime is 845753681. The reversal of 845753680 is 86357548.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 845753680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845753681) by changing a digit.

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, 246537 + ... + 249943.

It is an arithmetic number, because the mean of its divisors is an integer number (25672464).

Almost surely, 2845753680 is an apocalyptic number.

845753680 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 845753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026898560).

845753680 is an abundant number, since it is smaller than the sum of its proper divisors (1208043440).

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

845753680 is a wasteful number, since it uses less digits than its factorization.

845753680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 845753680 is about 29081.8445082151. The cubic root of 845753680 is about 945.6881897683.

The spelling of 845753680 in words is "eight hundred forty-five million, seven hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 107 116 145 214 232 290 428 464 535 580 856 1070 1160 1712 2140 2320 3103 3407 4280 6206 6814 8560 12412 13628 15515 17035 24824 27256 31030 34070 49648 54512 62060 68140 98803 124120 136280 197606 248240 272560 364549 395212 494015 729098 790424 988030 1458196 1580848 1822745 1976060 2916392 3645490 3952120 5832784 7290980 7904240 10571921 14581960 21143842 29163920 42287684 52859605 84575368 105719210 169150736 211438420 422876840 845753680