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4445780208 = 2431942111579
BaseRepresentation
bin1000010001111110…
…10011100011110000
3102110211112000221020
410020333103203300
533101104431313
62013052255440
7215112336222
oct41077234360
912424460836
104445780208
111981588521
12a40a71580
1355b0a179c
14302634412
151b047d323
hex108fd38f0

4445780208 has 80 divisors (see below), whose sum is σ = 12119164800. Its totient is φ = 1400474880.

The previous prime is 4445780201. The next prime is 4445780231. The reversal of 4445780208 is 8020875444.

It is a self number, because there is not a number n which added to its sum of digits gives 4445780208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4445780201) 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, 378163 + ... + 389741.

It is an arithmetic number, because the mean of its divisors is an integer number (151489560).

Almost surely, 24445780208 is an apocalyptic number.

4445780208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4445780208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059582400).

4445780208 is an abundant number, since it is smaller than the sum of its proper divisors (7673384592).

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

4445780208 is a wasteful number, since it uses less digits than its factorization.

4445780208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12030 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 4445780208 is about 66676.6841407099. The cubic root of 4445780208 is about 1644.3060801988.

The spelling of 4445780208 in words is "four billion, four hundred forty-five million, seven hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 421 456 842 912 1263 1684 2526 3368 5052 6736 7999 10104 11579 15998 20208 23158 23997 31996 34737 46316 47994 63992 69474 92632 95988 127984 138948 185264 191976 220001 277896 383952 440002 555792 660003 880004 1320006 1760008 2640012 3520016 4874759 5280024 9749518 10560048 14624277 19499036 29248554 38998072 58497108 77996144 92620421 116994216 185240842 233988432 277861263 370481684 555722526 740963368 1111445052 1481926736 2222890104 4445780208