Search a number
-
+
441272502 = 233111789491
BaseRepresentation
bin11010010011010…
…100100010110110
31010202022222002000
4122103110202312
51400431210002
6111442000130
713635516516
oct3223244266
91122288060
10441272502
112070a5620
12103946046
13705623b8
1442869846
1528b1761c
hex1a4d48b6

441272502 has 128 divisors (see below), whose sum is σ = 1147737600. Its totient is φ = 124185600.

The previous prime is 441272501. The next prime is 441272509. The reversal of 441272502 is 205272144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441272501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898477 + ... + 898967.

It is an arithmetic number, because the mean of its divisors is an integer number (8966700).

Almost surely, 2441272502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441272502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573868800).

441272502 is an abundant number, since it is smaller than the sum of its proper divisors (706465098).

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

441272502 is a wasteful number, since it uses less digits than its factorization.

441272502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 441272502 is about 21006.4871408810. The cubic root of 441272502 is about 761.3230083586.

The spelling of 441272502 in words is "four hundred forty-one million, two hundred seventy-two thousand, five hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 89 99 102 153 178 187 198 267 297 306 374 459 491 534 561 594 801 918 979 982 1122 1473 1513 1602 1683 1958 2403 2937 2946 3026 3366 4419 4539 4806 5049 5401 5874 8347 8811 8838 9078 10098 10802 13257 13617 16203 16643 16694 17622 25041 26433 26514 27234 32406 33286 40851 43699 48609 49929 50082 52866 75123 81702 87398 91817 97218 99858 131097 145827 149787 150246 183634 225369 262194 275451 291654 299574 393291 449361 450738 480689 550902 742883 786582 826353 898722 961378 1179873 1442067 1485766 1652706 2228649 2359746 2479059 2884134 4326201 4457298 4958118 6685947 8171713 8652402 12978603 13371894 16343426 20057841 24515139 25957206 40115682 49030278 73545417 147090834 220636251 441272502