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5676083800 = 23521571631109
BaseRepresentation
bin1010100100101001…
…00010101001011000
3112122120112221011221
411102110202221120
543111034140200
62335122101424
7260441626162
oct52224425130
915576487157
105676083800
112453001852
121124aaa874
136c5c4618a
143bbbb1932
152334a291a
hex152522a58

5676083800 has 96 divisors (see below), whose sum is σ = 13374478800. Its totient is φ = 2240110080.

The previous prime is 5676083779. The next prime is 5676083801. The reversal of 5676083800 is 83806765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5676083801) 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 23 ways as a sum of consecutive naturals, for example, 5117646 + ... + 5118754.

Almost surely, 25676083800 is an apocalyptic number.

5676083800 is a gapful number since it is divisible by the number (50) 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 5676083800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687239400).

5676083800 is an abundant number, since it is smaller than the sum of its proper divisors (7698395000).

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

5676083800 is a wasteful number, since it uses less digits than its factorization.

5676083800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 5676083800 is about 75339.7889564339. The cubic root of 5676083800 is about 1783.8141291535.

The spelling of 5676083800 in words is "five billion, six hundred seventy-six million, eighty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 163 200 314 326 628 652 785 815 1109 1256 1304 1570 1630 2218 3140 3260 3925 4075 4436 5545 6280 6520 7850 8150 8872 11090 15700 16300 22180 25591 27725 31400 32600 44360 51182 55450 102364 110900 127955 174113 180767 204728 221800 255910 348226 361534 511820 639775 696452 723068 870565 903835 1023640 1279550 1392904 1446136 1741130 1807670 2559100 3482260 3615340 4352825 4519175 5118200 6964520 7230680 8705650 9038350 17411300 18076700 28380419 34822600 36153400 56760838 113521676 141902095 227043352 283804190 567608380 709510475 1135216760 1419020950 2838041900 5676083800