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3758180416 = 26792972
BaseRepresentation
bin1110000000000001…
…0100100001000000
3100200220200100100021
43200000110201000
530144043233131
61420530503224
7162063002134
oct34000244100
910626610307
103758180416
111659438631
1288a734b14
1347b7b45c3
142791a73c4
1516ee09e11
hexe0014840

3758180416 has 63 divisors (see below), whose sum is σ = 7631905869. Its totient is φ = 1836177408.

The previous prime is 3758180369. The next prime is 3758180423. The reversal of 3758180416 is 6140818573.

The square root of 3758180416 is 61304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1687566400 + 2070614016 = 41080^2 + 45504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38744080 + ... + 38744176.

It is an arithmetic number, because the mean of its divisors is an integer number (121141363).

Almost surely, 23758180416 is an apocalyptic number.

3758180416 is the 61304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3758180416

3758180416 is an abundant number, since it is smaller than the sum of its proper divisors (3873725453).

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

3758180416 is an frugal number, since it uses more digits than its factorization.

3758180416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The cubic root of 3758180416 is about 1554.7451415944.

Adding to 3758180416 its reverse (6140818573), we get a palindrome (9898998989).

The spelling of 3758180416 in words is "three billion, seven hundred fifty-eight million, one hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 79 97 158 194 316 388 632 776 1264 1552 2528 3104 5056 6208 6241 7663 9409 12482 15326 18818 24964 30652 37636 49928 61304 75272 99856 122608 150544 199712 245216 301088 399424 490432 602176 605377 743311 1210754 1486622 2421508 2973244 4843016 5946488 9686032 11892976 19372064 23785952 38744128 47571904 58721569 117443138 234886276 469772552 939545104 1879090208 3758180416