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4404080484 = 22355697963
BaseRepresentation
bin1000001101000000…
…01110111101100100
3102100221001110200000
410012200032331210
533004421033414
62005002421300
7214065031536
oct40640167544
912327043600
104404080484
11195aa96941
12a2ab01830
135525613ab
142dac9b856
151ab992b09
hex10680ef64

4404080484 has 72 divisors (see below), whose sum is σ = 11566595040. Its totient is φ = 1465262784.

The previous prime is 4404080479. The next prime is 4404080491. The reversal of 4404080484 is 4840804044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549087 + ... + 557049.

Almost surely, 24404080484 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 4404080484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783297520).

4404080484 is an abundant number, since it is smaller than the sum of its proper divisors (7162514556).

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

4404080484 is a wasteful number, since it uses less digits than its factorization.

4404080484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8551 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4404080484 is about 66363.2464847825. The cubic root of 4404080484 is about 1639.1489342898.

The spelling of 4404080484 in words is "four billion, four hundred four million, eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 569 972 1138 1707 2276 3414 5121 6828 7963 10242 15363 15926 20484 23889 30726 31852 46089 47778 61452 71667 92178 95556 138267 143334 184356 215001 276534 286668 430002 553068 645003 860004 1290006 1935009 2580012 3870018 4530947 7740036 9061894 13592841 18123788 27185682 40778523 54371364 81557046 122335569 163114092 244671138 367006707 489342276 734013414 1101020121 1468026828 2202040242 4404080484