Search a number
-
+
4243083880 = 235737340627
BaseRepresentation
bin1111110011101000…
…0101001001101000
3101221201002222211211
43330322011021220
532142212141010
61541012002504
7210101421640
oct37472051150
911851088754
104243083880
1118881237a2
129a5000434
135280b2129
142c374d520
1519c79008a
hexfce85268

4243083880 has 64 divisors (see below), whose sum is σ = 10940307840. Its totient is φ = 1450835712.

The previous prime is 4243083869. The next prime is 4243083893. The reversal of 4243083880 is 883803424.

4243083880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84127 + ... + 124753.

It is an arithmetic number, because the mean of its divisors is an integer number (170942310).

Almost surely, 24243083880 is an apocalyptic number.

4243083880 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 4243083880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470153920).

4243083880 is an abundant number, since it is smaller than the sum of its proper divisors (6697223960).

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

4243083880 is a wasteful number, since it uses less digits than its factorization.

4243083880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41018 (or 41014 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 4243083880 is about 65138.9582354523. The cubic root of 4243083880 is about 1618.9267748093.

The spelling of 4243083880 in words is "four billion, two hundred forty-three million, eighty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 373 746 1492 1865 2611 2984 3730 5222 7460 10444 13055 14920 20888 26110 40627 52220 81254 104440 162508 203135 284389 325016 406270 568778 812540 1137556 1421945 1625080 2275112 2843890 5687780 11375560 15153871 30307742 60615484 75769355 106077097 121230968 151538710 212154194 303077420 424308388 530385485 606154840 848616776 1060770970 2121541940 4243083880