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412073628 = 223471096703
BaseRepresentation
bin11000100011111…
…011111010011100
31001201101111202020
4120203323322130
51320442324003
6104520100140
713132365561
oct3043737234
91051344666
10412073628
111a167201a
12b6004650
13674aac65
143ca28868
152629ad53
hex188fbe9c

412073628 has 48 divisors (see below), whose sum is σ = 991119360. Its totient is φ = 133182144.

The previous prime is 412073621. The next prime is 412073633. The reversal of 412073628 is 826370214.

It is a super-4 number, since 4×4120736284 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412073621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58125 + ... + 64827.

It is an arithmetic number, because the mean of its divisors is an integer number (20648320).

Almost surely, 2412073628 is an apocalyptic number.

It is an amenable number.

412073628 is an abundant number, since it is smaller than the sum of its proper divisors (579045732).

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

412073628 is a wasteful number, since it uses less digits than its factorization.

412073628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 412073628 is about 20299.5967447632. The cubic root of 412073628 is about 744.1462092698.

The spelling of 412073628 in words is "four hundred twelve million, seventy-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 47 94 109 141 188 218 282 327 436 564 654 1308 5123 6703 10246 13406 15369 20109 20492 26812 30738 40218 61476 80436 315041 630082 730627 945123 1260164 1461254 1890246 2191881 2922508 3780492 4383762 8767524 34339469 68678938 103018407 137357876 206036814 412073628