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4428601912 = 237678091459
BaseRepresentation
bin1000001111111011…
…10001101000111000
3102102122012021202001
410013331301220320
533032210230122
62011240150344
7214513331560
oct40775615070
912378167661
104428601912
111972915189
12a371683b4
13557668807
14300241da0
151adbd8527
hex107f71a38

4428601912 has 64 divisors (see below), whose sum is σ = 9650016000. Its totient is φ = 1866053376.

The previous prime is 4428601897. The next prime is 4428601913. The reversal of 4428601912 is 2191068244.

It is a super-2 number, since 2×44286019122 = 39225029789940111488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428601913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3034639 + ... + 3036097.

It is an arithmetic number, because the mean of its divisors is an integer number (150781500).

Almost surely, 24428601912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4428601912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825008000).

4428601912 is an abundant number, since it is smaller than the sum of its proper divisors (5221414088).

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

4428601912 is a wasteful number, since it uses less digits than its factorization.

4428601912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 4428601912 is about 66547.7415995464. The cubic root of 4428601912 is about 1642.1855048481.

The spelling of 4428601912 in words is "four billion, four hundred twenty-eight million, six hundred one thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 809 938 1459 1618 1876 2918 3236 3752 5663 5836 6472 10213 11326 11672 20426 22652 40852 45304 54203 81704 97753 108406 195506 216812 379421 391012 433624 684271 758842 782024 1180331 1368542 1517684 2360662 2737084 3035368 4721324 5474168 8262317 9442648 16524634 33049268 66098536 79082177 158164354 316328708 553575239 632657416 1107150478 2214300956 4428601912