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506103408 = 243223152809
BaseRepresentation
bin11110001010101…
…000011001110000
31022021022201100200
4132022220121300
52014030302113
6122115315200
715353544066
oct3612503160
91267281320
10506103408
1123a755a88
121215abb00
1380b11195
144b304036
152e671873
hex1e2a8670

506103408 has 60 divisors (see below), whose sum is σ = 1477978320. Its totient is φ = 161365248.

The previous prime is 506103401. The next prime is 506103443. The reversal of 506103408 is 804301605.

506103408 is a `hidden beast` number, since 5 + 0 + 610 + 3 + 40 + 8 = 666.

It is a super-2 number, since 2×5061034082 = 512281319178428928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506103401) 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 11 ways as a sum of consecutive naturals, for example, 73093 + ... + 79716.

It is an arithmetic number, because the mean of its divisors is an integer number (24632972).

Almost surely, 2506103408 is an apocalyptic number.

It is an amenable number.

506103408 is an abundant number, since it is smaller than the sum of its proper divisors (971874912).

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

506103408 is a wasteful number, since it uses less digits than its factorization.

506103408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152846 (or 152837 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506103408 is about 22496.7421641446. The cubic root of 506103408 is about 796.9169924261.

The spelling of 506103408 in words is "five hundred six million, one hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 152809 305618 458427 611236 916854 1222472 1375281 1833708 2444944 2750562 3514607 3667416 5501124 7029214 7334832 10543821 11002248 14058428 21087642 22004496 28116856 31631463 42175284 56233712 63262926 84350568 126525852 168701136 253051704 506103408