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516420333 = 331113592267
BaseRepresentation
bin11110110001111…
…111001011101101
31022222201212112000
4132301333023231
52024200422313
6123124402513
715540333432
oct3661771355
91288655460
10516420333
11245562270
12124b46439
1382cb4080
144c82bb89
153050d673
hex1ec7f2ed

516420333 has 64 divisors (see below), whose sum is σ = 914457600. Its totient is φ = 283884480.

The previous prime is 516420319. The next prime is 516420341. The reversal of 516420333 is 333024615.

It is a happy number.

It is not a de Polignac number, because 516420333 - 25 = 516420301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 516420297 and 516420306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516420353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226666 + ... + 228932.

It is an arithmetic number, because the mean of its divisors is an integer number (14288400).

Almost surely, 2516420333 is an apocalyptic number.

It is an amenable number.

516420333 is a deficient number, since it is larger than the sum of its proper divisors (398037267).

516420333 is a wasteful number, since it uses less digits than its factorization.

516420333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 516420333 is about 22724.8835640581. The cubic root of 516420333 is about 802.2956628845.

Adding to 516420333 its reverse (333024615), we get a palindrome (849444948).

The spelling of 516420333 in words is "five hundred sixteen million, four hundred twenty thousand, three hundred thirty-three".

Divisors: 1 3 9 11 13 27 33 39 59 99 117 143 177 297 351 429 531 649 767 1287 1593 1947 2267 2301 3861 5841 6801 6903 8437 17523 20403 20709 24937 25311 29471 61209 74811 75933 88413 133753 224433 227799 265239 324181 401259 673299 795717 972543 1203777 1471283 1738789 2917629 3611331 4413849 5216367 8752887 13241547 15649101 19126679 39724641 46947303 57380037 172140111 516420333