Search a number
-
+
2414916 = 223272372
BaseRepresentation
bin1001001101100101000100
311112200122100
421031211010
51104234131
6123432100
726345400
oct11154504
94480570
102414916
1113aa3a9
12985630
1366725a
1446c100
1532a7e6
hex24d944

2414916 has 81 divisors (see below), whose sum is σ = 7298109. Its totient is φ = 671328.

The previous prime is 2414911. The next prime is 2414921. The reversal of 2414916 is 6194142.

The square root of 2414916 is 1554.

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

It is an interprime number because it is at equal distance from previous prime (2414911) and next prime (2414921).

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 254016 = 1470^2 + 504^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2414916.

It is not an unprimeable number, because it can be changed into a prime (2414911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65250 + ... + 65286.

22414916 is an apocalyptic number.

2414916 is the 1554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414916

2414916 is an abundant number, since it is smaller than the sum of its proper divisors (4883193).

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

2414916 is a wasteful number, since it uses less digits than its factorization.

2414916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The cubic root of 2414916 is about 134.1633857631.

The spelling of 2414916 in words is "two million, four hundred fourteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 441 444 518 588 666 777 882 1036 1332 1369 1554 1764 1813 2331 2738 3108 3626 4107 4662 5439 5476 7252 8214 9324 9583 10878 12321 16317 16428 19166 21756 24642 28749 32634 38332 49284 57498 65268 67081 86247 114996 134162 172494 201243 268324 344988 402486 603729 804972 1207458 2414916