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4400000060 = 2252933722511
BaseRepresentation
bin1000001100100001…
…01010110000111100
3102100122101011101012
410012100222300330
533002400000220
62004335134352
7214015245341
oct40620526074
912318334335
104400000060
11195875a195
12a296743b8
13551763041
142da5187c8
151ab438ac5
hex10642ac3c

4400000060 has 48 divisors (see below), whose sum is σ = 9587410560. Its totient is φ = 1694192640.

The previous prime is 4400000053. The next prime is 4400000063. The reversal of 4400000060 is 600000044.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4399999990 and 4400000044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400000063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 184205 + ... + 206715.

It is an arithmetic number, because the mean of its divisors is an integer number (199737720).

Almost surely, 24400000060 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 4400000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793705280).

4400000060 is an abundant number, since it is smaller than the sum of its proper divisors (5187410500).

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

4400000060 is a wasteful number, since it uses less digits than its factorization.

4400000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22886 (or 22884 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4400000060 is about 66332.4962593750. The cubic root of 4400000060 is about 1638.6425486497.

The spelling of 4400000060 in words is "four billion, four hundred million, sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 29 58 116 145 290 337 580 674 1348 1685 3370 6740 9773 19546 22511 39092 45022 48865 90044 97730 112555 195460 225110 450220 652819 1305638 2611276 3264095 6528190 7586207 13056380 15172414 30344828 37931035 75862070 151724140 220000003 440000006 880000012 1100000015 2200000030 4400000060