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4450051728 = 243231199367
BaseRepresentation
bin1000010010011111…
…00110011010010000
3102111010120001100200
410021033212122100
533103203123403
62013324015200
7215163546513
oct41117463220
912433501320
104450051728
111983a35801
12a42391500
1355bc38b05
14303026d7a
151b0a23ca3
hex1093e6690

4450051728 has 60 divisors (see below), whose sum is σ = 12494134848. Its totient is φ = 1478566080.

The previous prime is 4450051717. The next prime is 4450051729. The reversal of 4450051728 is 8271500544.

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

It is a junction number, because it is equal to n+sod(n) for n = 4450051692 and 4450051701.

It is not an unprimeable number, because it can be changed into a prime (4450051729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4900 + ... + 94467.

Almost surely, 24450051728 is an apocalyptic number.

4450051728 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 4450051728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247067424).

4450051728 is an abundant number, since it is smaller than the sum of its proper divisors (8044083120).

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

4450051728 is a wasteful number, since it uses less digits than its factorization.

4450051728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99692 (or 99683 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4450051728 is about 66708.7080372570. The cubic root of 4450051728 is about 1644.8325298296.

The spelling of 4450051728 in words is "four billion, four hundred fifty million, fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 622 933 1244 1866 2488 2799 3732 4976 5598 7464 11196 14928 22392 44784 99367 198734 298101 397468 596202 794936 894303 1192404 1589872 1788606 2384808 3577212 4769616 7154424 14308848 30903137 61806274 92709411 123612548 185418822 247225096 278128233 370837644 494450192 556256466 741675288 1112512932 1483350576 2225025864 4450051728