Search a number
-
+
41209968 = 2434012141
BaseRepresentation
bin1001110100110…
…1000001110000
32212112200110010
42131031001300
541022204333
64031134520
71010164452
oct235150160
985480403
1041209968
1121297728
1211974440
1386cb4c7
14568a2d2
153940563
hex274d070

41209968 has 40 divisors (see below), whose sum is σ = 106774416. Its totient is φ = 13696000.

The previous prime is 41209967. The next prime is 41209999. The reversal of 41209968 is 86990214.

It is a super-2 number, since 2×412099682 = 3396522925122048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41209963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18178 + ... + 20318.

Almost surely, 241209968 is an apocalyptic number.

41209968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41209968 is an abundant number, since it is smaller than the sum of its proper divisors (65564448).

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

41209968 is a wasteful number, since it uses less digits than its factorization.

41209968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 41209968 is about 6419.4990458758. The cubic root of 41209968 is about 345.4093523689.

The spelling of 41209968 in words is "forty-one million, two hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 401 802 1203 1604 2141 2406 3208 4282 4812 6416 6423 8564 9624 12846 17128 19248 25692 34256 51384 102768 858541 1717082 2575623 3434164 5151246 6868328 10302492 13736656 20604984 41209968