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4428869800 = 2352191269431
BaseRepresentation
bin1000001111111101…
…10011000010101000
3102102122200220012211
410013332303002220
533032242313200
62011250014504
7214515525565
oct40776630250
912378626184
104428869800
111972a88483
12a37277434
13557730724
143002b186c
151adc3caba
hex107fb30a8

4428869800 has 96 divisors (see below), whose sum is σ = 10413619200. Its totient is φ = 1751648000.

The previous prime is 4428869761. The next prime is 4428869827. The reversal of 4428869800 is 89688244.

It is a super-2 number, since 2×44288698002 = 39229775410704080000, which contains 22 as substring.

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, 10275585 + ... + 10276015.

It is an arithmetic number, because the mean of its divisors is an integer number (108475200).

Almost surely, 24428869800 is an apocalyptic number.

4428869800 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 4428869800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206809600).

4428869800 is an abundant number, since it is smaller than the sum of its proper divisors (5984749400).

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

4428869800 is a wasteful number, since it uses less digits than its factorization.

4428869800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 4428869800 is about 66549.7543196066. The cubic root of 4428869800 is about 1642.2186163454.

The spelling of 4428869800 in words is "four billion, four hundred twenty-eight million, eight hundred sixty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 269 382 431 538 764 862 955 1076 1345 1528 1724 1910 2152 2155 2690 3448 3820 4310 4775 5380 6725 7640 8620 9550 10760 10775 13450 17240 19100 21550 26900 38200 43100 51379 53800 82321 86200 102758 115939 164642 205516 231878 256895 329284 411032 411605 463756 513790 579695 658568 823210 927512 1027580 1159390 1284475 1646420 2055160 2058025 2318780 2568950 2898475 3292840 4116050 4637560 5137900 5796950 8232100 10275800 11593900 16464200 22144349 23187800 44288698 88577396 110721745 177154792 221443490 442886980 553608725 885773960 1107217450 2214434900 4428869800