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420575312 = 24101317821
BaseRepresentation
bin11001000100010…
…111100001010000
31002022101102212102
4121010113201100
51330131402222
6105422215532
713264555043
oct3104274120
91068342772
10420575312
111a6449503
12b8a245a8
1369196841
143dbdcc5a
1526dc9d92
hex19117850

420575312 has 40 divisors (see below), whose sum is σ = 826534152. Its totient is φ = 207296000.

The previous prime is 420575293. The next prime is 420575333. The reversal of 420575312 is 213575024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35473936 + 385101376 = 5956^2 + 19624^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 511862 + ... + 512682.

Almost surely, 2420575312 is an apocalyptic number.

It is an amenable number.

420575312 is a deficient number, since it is larger than the sum of its proper divisors (405958840).

420575312 is a wasteful number, since it uses less digits than its factorization.

420575312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 420575312 is about 20507.9329041227. The cubic root of 420575312 is about 749.2290222478.

The spelling of 420575312 in words is "four hundred twenty million, five hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 101 202 317 404 634 808 821 1268 1616 1642 2536 3284 5072 6568 13136 32017 64034 82921 128068 165842 256136 260257 331684 512272 520514 663368 1041028 1326736 2082056 4164112 26285957 52571914 105143828 210287656 420575312