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517413336 = 233112385213
BaseRepresentation
bin11110110101110…
…001100111011000
31100001121022122220
4132311301213120
52024424211321
6123201544040
715551640456
oct3665614730
91301538586
10517413336
11246080330
12125345020
138327104b
144ca099d6
15306579c6
hex1ed719d8

517413336 has 64 divisors (see below), whose sum is σ = 1472497920. Its totient is φ = 149973120.

The previous prime is 517413319. The next prime is 517413349. The reversal of 517413336 is 633314715.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 517413297 and 517413306.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36535 + ... + 48678.

It is an arithmetic number, because the mean of its divisors is an integer number (23007780).

Almost surely, 2517413336 is an apocalyptic number.

It is an amenable number.

517413336 is an abundant number, since it is smaller than the sum of its proper divisors (955084584).

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

517413336 is a wasteful number, since it uses less digits than its factorization.

517413336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85256 (or 85252 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 517413336 is about 22746.7214340880. The cubic root of 517413336 is about 802.8095671976.

The spelling of 517413336 in words is "five hundred seventeen million, four hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 85213 170426 255639 340852 511278 681704 937343 1022556 1874686 1959899 2045112 2812029 3749372 3919798 5624058 5879697 7498744 7839596 11248116 11759394 15679192 21558889 22496232 23518788 43117778 47037576 64676667 86235556 129353334 172471112 258706668 517413336