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4440674688 = 27379146383
BaseRepresentation
bin1000010001010111…
…10101000110000000
3102110110220122110220
410020223311012000
533043303042223
62012351023040
7215021053302
oct41053650600
912413818426
104440674688
11197971068a
12a3b20aa80
1355a004978
14301aa5972
151aecc06e3
hex108af5180

4440674688 has 64 divisors (see below), whose sum is σ = 11944934400. Its totient is φ = 1461477888.

The previous prime is 4440674687. The next prime is 4440674713. The reversal of 4440674688 is 8864760444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-5 number, since 5×44406746885 (a number of 49 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4440674688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440674683) 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, 42856 + ... + 103527.

It is an arithmetic number, because the mean of its divisors is an integer number (186639600).

Almost surely, 24440674688 is an apocalyptic number.

4440674688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4440674688 is an abundant number, since it is smaller than the sum of its proper divisors (7504259712).

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

4440674688 is a wasteful number, since it uses less digits than its factorization.

4440674688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146479 (or 146467 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The square root of 4440674688 is about 66638.3874954969. The cubic root of 4440674688 is about 1643.6764004539.

The spelling of 4440674688 in words is "four billion, four hundred forty million, six hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 146383 292766 439149 585532 878298 1171064 1756596 2342128 3513192 4684256 7026384 9368512 11564257 14052768 18737024 23128514 28105536 34692771 46257028 56211072 69385542 92514056 138771084 185028112 277542168 370056224 555084336 740112448 1110168672 1480224896 2220337344 4440674688