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412530400 = 2552515663
BaseRepresentation
bin11000100101101…
…011011011100000
31001202020201022201
4120211223123200
51321101433100
6104533542544
713136310352
oct3045533340
91052221281
10412530400
111a1954217
12b61a4a54
136760ab39
143cb070d2
152633b36a
hex1896b6e0

412530400 has 36 divisors (see below), whose sum is σ = 1007091792. Its totient is φ = 165011840.

The previous prime is 412530379. The next prime is 412530401. The reversal of 412530400 is 4035214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412530401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 257032 + ... + 258631.

It is an arithmetic number, because the mean of its divisors is an integer number (27974772).

Almost surely, 2412530400 is an apocalyptic number.

412530400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412530400 is an abundant number, since it is smaller than the sum of its proper divisors (594561392).

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

412530400 is a wasteful number, since it uses less digits than its factorization.

412530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515683 (or 515670 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 412530400 is about 20310.8443940669. The cubic root of 412530400 is about 744.4210627707.

Adding to 412530400 its reverse (4035214), we get a palindrome (416565614).

The spelling of 412530400 in words is "four hundred twelve million, five hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 515663 1031326 2062652 2578315 4125304 5156630 8250608 10313260 12891575 16501216 20626520 25783150 41253040 51566300 82506080 103132600 206265200 412530400