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4404445956 = 223612292
BaseRepresentation
bin1000001101000011…
…01000001100000100
3102100221202001000000
410012201220030010
533010014232311
62005014321300
7214101113211
oct40641501404
912327661000
104404445956
111960216489
12a2b059230
1355265b851
142dad54b08
151aba16056
hex106868304

4404445956 has 63 divisors (see below), whose sum is σ = 11565794821. Its totient is φ = 1466954064.

The previous prime is 4404445943. The next prime is 4404445987. The reversal of 4404445956 is 6595444044.

The square root of 4404445956 is 66366.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4347292356 + 57153600 = 65934^2 + 7560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3583150 + ... + 3584378.

Almost surely, 24404445956 is an apocalyptic number.

4404445956 is the 66366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404445956

4404445956 is an abundant number, since it is smaller than the sum of its proper divisors (7161348865).

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

4404445956 is an frugal number, since it uses more digits than its factorization.

4404445956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The cubic root of 4404445956 is about 1639.1942745502.

It can be divided in two parts, 44044 and 45956, that added together give a square (90000 = 3002).

The spelling of 4404445956 in words is "four billion, four hundred four million, four hundred forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1229 1458 2458 2916 3687 4916 7374 11061 14748 22122 33183 44244 66366 99549 132732 199098 298647 398196 597294 895941 1194588 1510441 1791882 3020882 3583764 4531323 6041764 9062646 13593969 18125292 27187938 40781907 54375876 81563814 122345721 163127628 244691442 367037163 489382884 734074326 1101111489 1468148652 2202222978 4404445956