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4405225248 = 253239112
BaseRepresentation
bin1000001101001001…
…00110011100100000
3102101000012121222200
410012210212130200
533010214201443
62005043133200
7214110540204
oct40644463440
912330177880
104405225248
1119606a8a26
12a2b374200
13552872478
142db0b8b04
151abb1bdd3
hex106926720

4405225248 has 54 divisors (see below), whose sum is σ = 12530563227. Its totient is φ = 1468032960.

The previous prime is 4405225211. The next prime is 4405225289. The reversal of 4405225248 is 8425225044.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4405225248 is a `hidden beast` number, since 4 + 40 + 522 + 52 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2202612624 + 2202612624 = 46932^2 + 46932^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=46932.

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 8 ways as a sum of consecutive naturals, for example, 1124413 + ... + 1128323.

Almost surely, 24405225248 is an apocalyptic number.

4405225248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4405225248 is an abundant number, since it is smaller than the sum of its proper divisors (8125337979).

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

4405225248 is an frugal number, since it uses more digits than its factorization.

4405225248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 4405225248 is about 66371.8709092941. The cubic root of 4405225248 is about 1639.2909447229.

The spelling of 4405225248 in words is "four billion, four hundred five million, two hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3911 7822 11733 15644 23466 31288 35199 46932 62576 70398 93864 125152 140796 187728 281592 375456 563184 1126368 15295921 30591842 45887763 61183684 91775526 122367368 137663289 183551052 244734736 275326578 367102104 489469472 550653156 734204208 1101306312 1468408416 2202612624 4405225248