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5455443200 = 28523172689
BaseRepresentation
bin1010001010010101…
…10111010100000000
3112002012101020011212
411011022313110000
542133043140300
62301201025252
7252122334134
oct50512672400
915065336155
105455443200
11234a501249
121083025228
1368c312ccc
1439a7793c4
1521de1c935
hex1452b7500

5455443200 has 108 divisors (see below), whose sum is σ = 13550708220. Its totient is φ = 2174484480.

The previous prime is 5455443187. The next prime is 5455443221. The reversal of 5455443200 is 23445545.

It can be written as a sum of positive squares in 6 ways, for example, as 2330185984 + 3125257216 = 48272^2 + 55904^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2027456 + ... + 2030144.

Almost surely, 25455443200 is an apocalyptic number.

5455443200 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 5455443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775354110).

5455443200 is an abundant number, since it is smaller than the sum of its proper divisors (8095265020).

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

5455443200 is a wasteful number, since it uses less digits than its factorization.

5455443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 5455443200 is about 73860.9721029990. The cubic root of 5455443200 is about 1760.3945396485.

Adding to 5455443200 its reverse (23445545), we get a palindrome (5478888745).

The spelling of 5455443200 in words is "five billion, four hundred fifty-five million, four hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 317 320 400 634 640 800 1268 1280 1585 1600 2536 2689 3170 3200 5072 5378 6340 6400 7925 10144 10756 12680 13445 15850 20288 21512 25360 26890 31700 40576 43024 50720 53780 63400 67225 81152 86048 101440 107560 126800 134450 172096 202880 215120 253600 268900 344192 405760 430240 507200 537800 688384 852413 860480 1014400 1075600 1704826 1720960 2028800 2151200 3409652 3441920 4262065 4302400 6819304 8524130 8604800 13638608 17048260 17209600 21310325 27277216 34096520 42620650 54554432 68193040 85241300 109108864 136386080 170482600 218217728 272772160 340965200 545544320 681930400 1091088640 1363860800 2727721600 5455443200