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4420921600 = 28521136113
BaseRepresentation
bin1000001111000000…
…11110100100000000
3102102002202002100001
410013200132210000
533023223442400
62010403405344
7214361133154
oct40740364400
912362662301
104420921600
111969549917
12a34683854
13555ba9a54
142dd203064
151ad1bca6a
hex10781e900

4420921600 has 108 divisors (see below), whose sum is σ = 11041113636. Its totient is φ = 1752432640.

The previous prime is 4420921543. The next prime is 4420921649. The reversal of 4420921600 is 61290244.

It can be written as a sum of positive squares in 6 ways, for example, as 807469056 + 3613452544 = 28416^2 + 60112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720144 + ... + 726256.

Almost surely, 24420921600 is an apocalyptic number.

4420921600 is a gapful number since it is divisible by the number (40) 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 4420921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520556818).

4420921600 is an abundant number, since it is smaller than the sum of its proper divisors (6620192036).

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

4420921600 is a wasteful number, since it uses less digits than its factorization.

4420921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4420921600 is about 66490.0112798908. The cubic root of 4420921600 is about 1641.2356343317.

The spelling of 4420921600 in words is "four billion, four hundred twenty million, nine hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 128 160 200 226 256 320 400 452 565 640 800 904 1130 1280 1600 1808 2260 2825 3200 3616 4520 5650 6113 6400 7232 9040 11300 12226 14464 18080 22600 24452 28928 30565 36160 45200 48904 61130 72320 90400 97808 122260 144640 152825 180800 195616 244520 305650 361600 391232 489040 611300 690769 723200 782464 978080 1222600 1381538 1564928 1956160 2445200 2763076 3453845 3912320 4890400 5526152 6907690 7824640 9780800 11052304 13815380 17269225 19561600 22104608 27630760 34538450 39123200 44209216 55261520 69076900 88418432 110523040 138153800 176836864 221046080 276307600 442092160 552615200 884184320 1105230400 2210460800 4420921600