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512278968 = 233293123743
BaseRepresentation
bin11110100010001…
…100000110111000
31022200221110122010
4132202030012320
52022120411333
6122455525520
715460204455
oct3642140670
91280843563
10512278968
11243193853
121236898a0
1382194066
144c07082c
152ee91563
hex1e88c1b8

512278968 has 64 divisors (see below), whose sum is σ = 1367654400. Its totient is φ = 159546240.

The previous prime is 512278967. The next prime is 512279029. The reversal of 512278968 is 869872215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512278961) 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 15 ways as a sum of consecutive naturals, for example, 9705 + ... + 33447.

It is an arithmetic number, because the mean of its divisors is an integer number (21369600).

Almost surely, 2512278968 is an apocalyptic number.

512278968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512278968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683827200).

512278968 is an abundant number, since it is smaller than the sum of its proper divisors (855375432).

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

512278968 is a wasteful number, since it uses less digits than its factorization.

512278968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23812 (or 23808 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 512278968 is about 22633.5805386598. The cubic root of 512278968 is about 800.1452694527.

The spelling of 512278968 in words is "five hundred twelve million, two hundred seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1798 2697 3596 5394 7192 10788 21576 23743 47486 71229 94972 142458 189944 284916 569832 688547 736033 1377094 1472066 2065641 2208099 2754188 2944132 4131282 4416198 5508376 5888264 8262564 8832396 16525128 17664792 21344957 42689914 64034871 85379828 128069742 170759656 256139484 512278968