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5265414 = 23271129131
BaseRepresentation
bin10100000101100000000110
3100220111210100
4110011200012
52321443124
6304504530
762520030
oct24054006
910814710
105265414
112a76a90
12191b146
13112483b
149b0c50
156e01c9
hex505806

5265414 has 96 divisors (see below), whose sum is σ = 14826240. Its totient is φ = 1310400.

The previous prime is 5265401. The next prime is 5265419. The reversal of 5265414 is 4145625.

5265414 is a `hidden beast` number, since 5 + 2 + 654 + 1 + 4 = 666.

It is a super-3 number, since 3×52654143 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5265419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40129 + ... + 40259.

It is an arithmetic number, because the mean of its divisors is an integer number (154440).

Almost surely, 25265414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5265414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413120).

5265414 is an abundant number, since it is smaller than the sum of its proper divisors (9560826).

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

5265414 is a wasteful number, since it uses less digits than its factorization.

5265414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 183 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 5265414 is about 2294.6489927656. The cubic root of 5265414 is about 173.9712596209.

The spelling of 5265414 in words is "five million, two hundred sixty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 131 154 174 198 203 231 261 262 319 393 406 462 522 609 638 693 786 917 957 1179 1218 1386 1441 1827 1834 1914 2233 2358 2751 2871 2882 3654 3799 4323 4466 5502 5742 6699 7598 8253 8646 10087 11397 12969 13398 16506 20097 20174 22794 25938 26593 30261 34191 40194 41789 53186 60522 68382 79779 83578 90783 125367 159558 181566 239337 250734 292523 376101 478674 585046 752202 877569 1755138 2632707 5265414