Search a number
-
+
4400844040 = 235733150097
BaseRepresentation
bin1000001100100111…
…11000110100001000
3102100200222001002201
410012103320310020
533003104002130
62004405205544
7214025362045
oct40623706410
912320861081
104400844040
11195918629a
12a29a008b4
1355199a238
142da6981cc
151ab553bca
hex1064f8d08

4400844040 has 32 divisors (see below), whose sum is σ = 9915473880. Its totient is φ = 1757924352.

The previous prime is 4400844001. The next prime is 4400844053. The reversal of 4400844040 is 404480044.

It can be written as a sum of positive squares in 4 ways, for example, as 4245043716 + 155800324 = 65154^2 + 12482^2 .

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 7 ways as a sum of consecutive naturals, for example, 45729 + ... + 104368.

Almost surely, 24400844040 is an apocalyptic number.

4400844040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400844040 is an abundant number, since it is smaller than the sum of its proper divisors (5514629840).

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

4400844040 is a wasteful number, since it uses less digits than its factorization.

4400844040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150841 (or 150837 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4400844040 is about 66338.8576929088. The cubic root of 4400844040 is about 1638.7473132787.

The spelling of 4400844040 in words is "four billion, four hundred million, eight hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 733 1466 2932 3665 5864 7330 14660 29320 150097 300194 600388 750485 1200776 1500970 3001940 6003880 110021101 220042202 440084404 550105505 880168808 1100211010 2200422020 4400844040