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4250556744 = 233723797687
BaseRepresentation
bin1111110101011010…
…0101100101001000
3101222020011122200120
43331112211211020
532201120303434
61541440103240
7210222064500
oct37526454510
911866148616
104250556744
111891368215
129a7604b20
135297ca645
142c4736a00
1519d269349
hexfd5a5948

4250556744 has 96 divisors (see below), whose sum is σ = 12695532480. Its totient is φ = 1181609856.

The previous prime is 4250556743. The next prime is 4250556749. The reversal of 4250556744 is 4476550524.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4250556696 and 4250556705.

It is not an unprimeable number, because it can be changed into a prime (4250556743) 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 23 ways as a sum of consecutive naturals, for example, 5332 + ... + 92355.

It is an arithmetic number, because the mean of its divisors is an integer number (132245130).

Almost surely, 24250556744 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 4250556744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347766240).

4250556744 is an abundant number, since it is smaller than the sum of its proper divisors (8444975736).

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

4250556744 is a wasteful number, since it uses less digits than its factorization.

4250556744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97747 (or 97736 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The square root of 4250556744 is about 65196.2939437511. The cubic root of 4250556744 is about 1619.8766283125.

The spelling of 4250556744 in words is "four billion, two hundred fifty million, five hundred fifty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 294 296 392 444 518 588 777 888 1036 1176 1554 1813 2072 3108 3626 5439 6216 7252 10878 14504 21756 43512 97687 195374 293061 390748 586122 683809 781496 1172244 1367618 2051427 2344488 2735236 3614419 4102854 4786663 5470472 7228838 8205708 9573326 10843257 14359989 14457676 16411416 19146652 21686514 25300933 28719978 28915352 38293304 43373028 50601866 57439956 75902799 86746056 101203732 114879912 151805598 177106531 202407464 303611196 354213062 531319593 607222392 708426124 1062639186 1416852248 2125278372 4250556744