Search a number
-
+
4044342450 = 235289491617
BaseRepresentation
bin1111000100001111…
…1100010010110010
3101102212010212212010
43301003330102302
531240322424300
61505152143350
7202136225601
oct36103742262
911385125763
104044342450
111795a20385
1294a537b56
134c5b78955
142a51b7a38
1518a0d3a50
hexf10fc4b2

4044342450 has 96 divisors (see below), whose sum is σ = 10179794880. Its totient is φ = 1062476800.

The previous prime is 4044342403. The next prime is 4044342479. The reversal of 4044342450 is 542434404.

4044342450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6554542 + ... + 6555158.

It is an arithmetic number, because the mean of its divisors is an integer number (106039530).

Almost surely, 24044342450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044342450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089897440).

4044342450 is an abundant number, since it is smaller than the sum of its proper divisors (6135452430).

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

4044342450 is a wasteful number, since it uses less digits than its factorization.

4044342450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 4044342450 is about 63595.1448618525. The cubic root of 4044342450 is about 1593.2452802402.

Adding to 4044342450 its reverse (542434404), we get a palindrome (4586776854).

The spelling of 4044342450 in words is "four billion, forty-four million, three hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 150 178 267 445 491 534 617 890 982 1234 1335 1473 1851 2225 2455 2670 2946 3085 3702 4450 4910 6170 6675 7365 9255 12275 13350 14730 15425 18510 24550 30850 36825 43699 46275 54913 73650 87398 92550 109826 131097 164739 218495 262194 274565 302947 329478 436990 549130 605894 655485 823695 908841 1092475 1310970 1372825 1514735 1647390 1817682 2184950 2745650 3029470 3277425 4118475 4544205 6554850 7573675 8236950 9088410 15147350 22721025 26962283 45442050 53924566 80886849 134811415 161773698 269622830 404434245 674057075 808868490 1348114150 2022171225 4044342450