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506650112 = 2931137233
BaseRepresentation
bin11110001100101…
…101111000000000
31022022100111021222
4132030231320000
52014200300422
6122135134212
715361312013
oct3614557000
91268314258
10506650112
1123aa99801
12121814368
1380c72c87
144b40737a
152e72d842
hex1e32de00

506650112 has 80 divisors (see below), whose sum is σ = 1057110912. Its totient is φ = 242319360.

The previous prime is 506650103. The next prime is 506650121. The reversal of 506650112 is 211056605.

It is an interprime number because it is at equal distance from previous prime (506650103) and next prime (506650121).

It is a super-2 number, since 2×5066501122 = 513388671979225088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2174348 + ... + 2174580.

Almost surely, 2506650112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528555456).

506650112 is an abundant number, since it is smaller than the sum of its proper divisors (550460800).

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

506650112 is a wasteful number, since it uses less digits than its factorization.

506650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 506650112 is about 22508.8896216584. The cubic root of 506650112 is about 797.2038382356.

The spelling of 506650112 in words is "five hundred six million, six hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 137 233 248 256 274 466 496 512 548 932 992 1096 1864 1984 2192 3728 3968 4247 4384 7223 7456 7936 8494 8768 14446 14912 15872 16988 17536 28892 29824 31921 33976 35072 57784 59648 63842 67952 70144 115568 119296 127684 135904 231136 255368 271808 462272 510736 543616 924544 989551 1021472 1087232 1849088 1979102 2042944 2174464 3698176 3958204 4085888 7916408 8171776 15832816 16343552 31665632 63331264 126662528 253325056 506650112