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4428452800 = 26524758889
BaseRepresentation
bin1000001111111010…
…01101001111000000
3102102121220201012101
410013331031033000
533032140442200
62011233040144
7214512141052
oct40775151700
912377821171
104428452800
111972823152
12a370b6054
13557615995
143002038d2
151adba926a
hex107f4d3c0

4428452800 has 84 divisors (see below), whose sum is σ = 11128796640. Its totient is φ = 1733662720.

The previous prime is 4428452783. The next prime is 4428452803. The reversal of 4428452800 is 82548244.

It is a super-2 number, since 2×44284528002 = 39222388403655680000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4428452800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428452803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45756 + ... + 104644.

Almost surely, 24428452800 is an apocalyptic number.

4428452800 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 4428452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564398320).

4428452800 is an abundant number, since it is smaller than the sum of its proper divisors (6700343840).

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

4428452800 is a wasteful number, since it uses less digits than its factorization.

4428452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58958 (or 58943 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The square root of 4428452800 is about 66546.6212515707. The cubic root of 4428452800 is about 1642.1670737256.

The spelling of 4428452800 in words is "four billion, four hundred twenty-eight million, four hundred fifty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 160 188 200 235 320 376 400 470 752 800 940 1175 1504 1600 1880 2350 3008 3760 4700 7520 9400 15040 18800 37600 58889 75200 117778 235556 294445 471112 588890 942224 1177780 1472225 1884448 2355560 2767783 2944450 3768896 4711120 5535566 5888900 9422240 11071132 11777800 13838915 18844480 22142264 23555600 27677830 44284528 47111200 55355660 69194575 88569056 94222400 110711320 138389150 177138112 221422640 276778300 442845280 553556600 885690560 1107113200 2214226400 4428452800