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412323525 = 3252173373
BaseRepresentation
bin11000100100111…
…000111011000101
31001201212012112200
4120210320323011
51321023323100
6104525305113
713134456255
oct3044707305
91051765480
10412323525
111a1822849
12b6105199
1367567923
143ca91965
15262e9e00
hex18938ec5

412323525 has 72 divisors (see below), whose sum is σ = 786768840. Its totient is φ = 206415360.

The previous prime is 412323497. The next prime is 412323533. The reversal of 412323525 is 525323214.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 82029249 + 330294276 = 9057^2 + 18174^2 .

It is not a de Polignac number, because 412323525 - 25 = 412323493 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1105239 + ... + 1105611.

It is an arithmetic number, because the mean of its divisors is an integer number (10927345).

Almost surely, 2412323525 is an apocalyptic number.

412323525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412323525 is a deficient number, since it is larger than the sum of its proper divisors (374445315).

412323525 is a wasteful number, since it uses less digits than its factorization.

412323525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 398 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 412323525 is about 20305.7510326508. The cubic root of 412323525 is about 744.2966049873.

Adding to 412323525 its reverse (525323214), we get a palindrome (937646739).

The spelling of 412323525 in words is "four hundred twelve million, three hundred twenty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 373 425 765 867 1119 1275 1445 1865 2601 3357 3825 4335 4913 5595 6341 7225 9325 13005 14739 16785 19023 21675 24565 27975 31705 44217 57069 65025 73695 83925 95115 107797 122825 158525 221085 285345 323391 368475 475575 538985 970173 1105425 1426725 1616955 1832549 2694925 4850865 5497647 8084775 9162745 16492941 24254325 27488235 45813725 82464705 137441175 412323525