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4438054040 = 235723996607
BaseRepresentation
bin1000010001000011…
…10101010010011000
3102110021222111121212
410020201311102120
533042120212130
62012214522252
7214656560030
oct41041652230
912407874555
104438054040
111978190762
12a3a366388
135595c7ba4
143015c28c0
151ae953e95
hex108875498

4438054040 has 64 divisors (see below), whose sum is σ = 11418624000. Its totient is φ = 1520754048.

The previous prime is 4438054039. The next prime is 4438054043. The reversal of 4438054040 is 404508344.

It is a super-3 number, since 3×44380540403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4438053988 and 4438054006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4438054043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668417 + ... + 675023.

It is an arithmetic number, because the mean of its divisors is an integer number (178416000).

Almost surely, 24438054040 is an apocalyptic number.

4438054040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4438054040 is an abundant number, since it is smaller than the sum of its proper divisors (6980569960).

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

4438054040 is a wasteful number, since it uses less digits than its factorization.

4438054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9024 (or 9020 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 4438054040 is about 66618.7213927136. The cubic root of 4438054040 is about 1643.3530002798.

The spelling of 4438054040 in words is "four billion, four hundred thirty-eight million, fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2399 4798 6607 9596 11995 13214 16793 19192 23990 26428 33035 33586 46249 47980 52856 66070 67172 83965 92498 95960 132140 134344 167930 184996 231245 264280 335860 369992 462490 671720 924980 1849960 15850193 31700386 63400772 79250965 110951351 126801544 158501930 221902702 317003860 443805404 554756755 634007720 887610808 1109513510 2219027020 4438054040