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412455225 = 352713223271
BaseRepresentation
bin11000100101011…
…001000100111001
31001202002220012110
4120211121010321
51321042031400
6104532202533
713135545240
oct3045310471
91052086173
10412455225
111a1902796
12b6169449
13675b2860
143cac7957
1526323e50
hex18959139

412455225 has 96 divisors (see below), whose sum is σ = 846168064. Its totient is φ = 172627200.

The previous prime is 412455223. The next prime is 412455289. The reversal of 412455225 is 522554214.

It is not a de Polignac number, because 412455225 - 21 = 412455223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 412455192 and 412455201.

It is not an unprimeable number, because it can be changed into a prime (412455223) 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 95 ways as a sum of consecutive naturals, for example, 1521840 + ... + 1522110.

Almost surely, 2412455225 is an apocalyptic number.

It is an amenable number.

412455225 is an abundant number, since it is smaller than the sum of its proper divisors (433712839).

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

412455225 is a wasteful number, since it uses less digits than its factorization.

412455225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 522 counting only the distinct ones).

The product of its digits is 16000, while the sum is 30.

The square root of 412455225 is about 20308.9936973746. The cubic root of 412455225 is about 744.3758416564.

The spelling of 412455225 in words is "four hundred twelve million, four hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 223 271 273 325 455 525 669 813 975 1115 1355 1365 1561 1897 2275 2899 3345 3523 4065 4683 5575 5691 6775 6825 7805 8697 9485 10569 14495 16725 17615 20293 20325 23415 24661 28455 39025 43485 47425 52845 60433 60879 72475 73983 88075 101465 117075 123305 142275 181299 217425 264225 302165 304395 369915 423031 507325 616525 785629 906495 1269093 1510825 1521975 1849575 2115155 2356887 3928145 4532475 5499403 6345465 10575775 11784435 16498209 19640725 27497015 31727325 58922175 82491045 137485075 412455225