Search a number
-
+
4245281984 = 26437121727
BaseRepresentation
bin1111110100001001…
…1101110011000000
3101221212020200002002
43331002131303000
532143243010414
61541131043132
7210126205256
oct37502356300
911855220062
104245281984
111889395209
129a58a04a8
135286a1798
142c3b625d6
1519ca764de
hexfd09dcc0

4245281984 has 56 divisors (see below), whose sum is σ = 8741956608. Its totient is φ = 2043982080.

The previous prime is 4245281977. The next prime is 4245281993. The reversal of 4245281984 is 4891825424.

It is a happy number.

4245281984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42452819843 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184529 + ... + 206255.

It is an arithmetic number, because the mean of its divisors is an integer number (156106368).

Almost surely, 24245281984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4245281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370978304).

4245281984 is an abundant number, since it is smaller than the sum of its proper divisors (4496674624).

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

4245281984 is a wasteful number, since it uses less digits than its factorization.

4245281984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21853 (or 21843 counting only the distinct ones).

The product of its digits is 737280, while the sum is 47.

The square root of 4245281984 is about 65155.8284729770. The cubic root of 4245281984 is about 1619.2062849642.

The spelling of 4245281984 in words is "four billion, two hundred forty-five million, two hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 64 71 86 142 172 284 344 568 688 1136 1376 2272 2752 3053 4544 6106 12212 21727 24424 43454 48848 86908 97696 173816 195392 347632 695264 934261 1390528 1542617 1868522 3085234 3737044 6170468 7474088 12340936 14948176 24681872 29896352 49363744 59792704 66332531 98727488 132665062 265330124 530660248 1061320496 2122640992 4245281984