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513454812 = 223136179683
BaseRepresentation
bin11110100110101…
…011001011011100
31022210011012120220
4132212223023130
52022421023222
6122541041340
715503202543
oct3646531334
91283135526
10513454812
11243917222
12123b56250
13824b6320
144c29915a
1530124b5c
hex1e9ab2dc

513454812 has 96 divisors (see below), whose sum is σ = 1329914880. Its totient is φ = 153204480.

The previous prime is 513454793. The next prime is 513454817. The reversal of 513454812 is 218454315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513454817) 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 31 ways as a sum of consecutive naturals, for example, 751423 + ... + 752105.

It is an arithmetic number, because the mean of its divisors is an integer number (13853280).

Almost surely, 2513454812 is an apocalyptic number.

513454812 is a gapful number since it is divisible by the number (52) 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 513454812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

513454812 is an abundant number, since it is smaller than the sum of its proper divisors (816460068).

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

513454812 is a wasteful number, since it uses less digits than its factorization.

513454812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 513454812 is about 22659.5413016239. The cubic root of 513454812 is about 800.7569980498.

The spelling of 513454812 in words is "five hundred thirteen million, four hundred fifty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 79 122 156 158 183 237 244 316 366 474 683 732 793 948 1027 1366 1586 2049 2054 2379 2732 3081 3172 4098 4108 4758 4819 6162 8196 8879 9516 9638 12324 14457 17758 19276 26637 28914 35516 41663 53274 53957 57828 62647 83326 106548 107914 124989 125294 161871 166652 187941 215828 249978 250588 323742 375882 499956 541619 647484 701441 751764 1083238 1402882 1624857 2104323 2166476 2805764 3249714 3291377 4208646 6499428 6582754 8417292 9874131 13165508 19748262 39496524 42787901 85575802 128363703 171151604 256727406 513454812