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412396640 = 2552577479
BaseRepresentation
bin11000100101001…
…010110001100000
31001201222220211122
4120211022301200
51321033143030
6104531031412
713135212365
oct3045126140
91051886748
10412396640
111a1872777
12b613b568
1367591ca6
143cab046c
15263118e5
hex1894ac60

412396640 has 24 divisors (see below), whose sum is σ = 974287440. Its totient is φ = 164958592.

The previous prime is 412396631. The next prime is 412396643. The reversal of 412396640 is 46693214.

It is a self number, because there is not a number n which added to its sum of digits gives 412396640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412396643) 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 3 ways as a sum of consecutive naturals, for example, 1288580 + ... + 1288899.

It is an arithmetic number, because the mean of its divisors is an integer number (40595310).

Almost surely, 2412396640 is an apocalyptic number.

412396640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412396640 is an abundant number, since it is smaller than the sum of its proper divisors (561890800).

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

412396640 is a wasteful number, since it uses less digits than its factorization.

412396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577494 (or 2577486 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 412396640 is about 20307.5513048718. The cubic root of 412396640 is about 744.3405963571.

The spelling of 412396640 in words is "four hundred twelve million, three hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2577479 5154958 10309916 12887395 20619832 25774790 41239664 51549580 82479328 103099160 206198320 412396640