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4420684400 = 2452111952879
BaseRepresentation
bin1000001110111111…
…00100101001110000
3102102002022000221212
410013133210221300
533023143400100
62010354335252
7214356124466
oct40737445160
912362260855
104420684400
1119693a7690
12a3458a528
13555b25ab2
142dd180836
151ad172635
hex1077e4a70

4420684400 has 120 divisors (see below), whose sum is σ = 12196243200. Its totient is φ = 1522886400.

The previous prime is 4420684393. The next prime is 4420684439. The reversal of 4420684400 is 44860244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57161 + ... + 110039.

It is an arithmetic number, because the mean of its divisors is an integer number (101635360).

Almost surely, 24420684400 is an apocalyptic number.

4420684400 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 4420684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098121600).

4420684400 is an abundant number, since it is smaller than the sum of its proper divisors (7775558800).

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

4420684400 is a wasteful number, since it uses less digits than its factorization.

4420684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52927 (or 52916 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 4420684400 is about 66488.2275293905. The cubic root of 4420684400 is about 1641.2062808703.

The spelling of 4420684400 in words is "four billion, four hundred twenty million, six hundred eighty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 16720 20900 41800 52879 83600 105758 211516 264395 423032 528790 581669 846064 1004701 1057580 1163338 1321975 2009402 2115160 2326676 2643950 2908345 4018804 4230320 4653352 5023505 5287900 5816690 8037608 9306704 10047010 10575800 11051711 11633380 14541725 16075216 20094020 21151600 22103422 23266760 25117525 29083450 40188040 44206844 46533520 50235050 55258555 58166900 80376080 88413688 100470100 110517110 116333800 176827376 200940200 221034220 232667600 276292775 401880400 442068440 552585550 884136880 1105171100 2210342200 4420684400