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76820535 = 33511172179
BaseRepresentation
bin1001001010000…
…11000000110111
312100112212222000
410211003000313
5124131224120
611342310343
71621651401
oct445030067
9170485860
1076820535
113a3aa450
12218883b3
1312bb914c
14a2b9b71
156b26990
hex4943037

76820535 has 96 divisors (see below), whose sum is σ = 159148800. Its totient is φ = 34859520.

The previous prime is 76820531. The next prime is 76820539. The reversal of 76820535 is 53502867.

It is an interprime number because it is at equal distance from previous prime (76820531) and next prime (76820539).

It is not a de Polignac number, because 76820535 - 22 = 76820531 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 76820535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76820531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429076 + ... + 429254.

It is an arithmetic number, because the mean of its divisors is an integer number (1657800).

Almost surely, 276820535 is an apocalyptic number.

76820535 is an abundant number, since it is smaller than the sum of its proper divisors (82328265).

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

76820535 is a wasteful number, since it uses less digits than its factorization.

76820535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 76820535 is about 8764.7324545590. The cubic root of 76820535 is about 425.1013091819.

The spelling of 76820535 in words is "seventy-six million, eight hundred twenty thousand, five hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 179 187 255 289 297 459 495 537 561 765 867 895 935 1445 1485 1611 1683 1969 2295 2601 2685 2805 3043 3179 4335 4833 5049 5907 7803 8055 8415 9129 9537 9845 13005 15215 15895 17721 24165 25245 27387 28611 29535 33473 39015 45645 47685 51731 53163 82161 85833 88605 100419 136935 143055 155193 167365 258655 265815 301257 410805 429165 465579 502095 569041 775965 903771 1396737 1506285 1707123 2327895 2845205 4518855 5121369 6983685 8535615 15364107 25606845 76820535