Search a number
-
+
414925069 = 131729101641
BaseRepresentation
bin11000101110110…
…100000100001101
31001220202101012011
4120232310010031
51322210100234
6105101141221
713165543036
oct3056640415
91056671164
10414925069
111a323a389
12b6b5a811
1367c68ac0
143d16ba8d
1526660b64
hex18bb410d

414925069 has 32 divisors (see below), whose sum is σ = 495059040. Its totient is φ = 344064000.

The previous prime is 414925057. The next prime is 414925073. The reversal of 414925069 is 960529414.

It can be written as a sum of positive squares in 16 ways, for example, as 4052169 + 410872900 = 2013^2 + 20270^2 .

It is a cyclic number.

It is not a de Polignac number, because 414925069 - 213 = 414916877 is a prime.

It is a super-2 number, since 2×4149250692 = 344325625769309522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414925009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646989 + ... + 647629.

It is an arithmetic number, because the mean of its divisors is an integer number (15470595).

Almost surely, 2414925069 is an apocalyptic number.

It is an amenable number.

414925069 is a deficient number, since it is larger than the sum of its proper divisors (80133971).

414925069 is a wasteful number, since it uses less digits than its factorization.

414925069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 414925069 is about 20369.7095953772. The cubic root of 414925069 is about 745.8586972749.

The spelling of 414925069 in words is "four hundred fourteen million, nine hundred twenty-five thousand, sixty-nine".

Divisors: 1 13 17 29 101 221 377 493 641 1313 1717 2929 6409 8333 10897 18589 22321 38077 49793 64741 141661 241657 316013 647309 841633 1100597 1877489 4108169 14307761 24407357 31917313 414925069