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405115525 = 52172573709
BaseRepresentation
bin11000001001011…
…001001010000101
31001020022000000201
4120021121022011
51312202144100
6104111010501
713016265553
oct3011311205
91036260021
10405115525
1119874a321
12b3809a31
1365c12b39
143bb36bd3
152587436a
hex18259285

405115525 has 24 divisors (see below), whose sum is σ = 534106440. Its totient is φ = 303759360.

The previous prime is 405115523. The next prime is 405115531. The reversal of 405115525 is 525511504.

It can be written as a sum of positive squares in 12 ways, for example, as 12837889 + 392277636 = 3583^2 + 19806^2 .

It is not a de Polignac number, because 405115525 - 21 = 405115523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405115493 and 405115502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405115523) 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 23 ways as a sum of consecutive naturals, for example, 107371 + ... + 111079.

It is an arithmetic number, because the mean of its divisors is an integer number (22254435).

Almost surely, 2405115525 is an apocalyptic number.

It is an amenable number.

405115525 is a deficient number, since it is larger than the sum of its proper divisors (128990915).

405115525 is a wasteful number, since it uses less digits than its factorization.

405115525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

The square root of 405115525 is about 20127.4818345465. The cubic root of 405115525 is about 739.9339635496.

The spelling of 405115525 in words is "four hundred five million, one hundred fifteen thousand, five hundred twenty-five".

Divisors: 1 5 17 25 85 257 425 1285 3709 4369 6425 18545 21845 63053 92725 109225 315265 953213 1576325 4766065 16204621 23830325 81023105 405115525