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4402406640 = 243518343361
BaseRepresentation
bin1000001100110011…
…10110010011110000
3102100210220102120210
410012121312103300
533004004003030
62004502504120
7214044560532
oct40631662360
912323812523
104402406640
11195a0532a5
12a2a435040
135520c6558
142da983852
151ab761bb0
hex1066764f0

4402406640 has 40 divisors (see below), whose sum is σ = 13647461328. Its totient is φ = 1173975040.

The previous prime is 4402406623. The next prime is 4402406641. The reversal of 4402406640 is 466042044.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4402406598 and 4402406607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402406641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9171441 + ... + 9171920.

Almost surely, 24402406640 is an apocalyptic number.

4402406640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4402406640 is an abundant number, since it is smaller than the sum of its proper divisors (9245054688).

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

4402406640 is a wasteful number, since it uses less digits than its factorization.

4402406640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18343377 (or 18343371 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4402406640 is about 66350.6340587639. The cubic root of 4402406640 is about 1638.9412460420.

Adding to 4402406640 its reverse (466042044), we get a palindrome (4868448684).

The spelling of 4402406640 in words is "four billion, four hundred two million, four hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 18343361 36686722 55030083 73373444 91716805 110060166 146746888 183433610 220120332 275150415 293493776 366867220 440240664 550300830 733734440 880481328 1100601660 1467468880 2201203320 4402406640