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84916755 = 3457211389
BaseRepresentation
bin1010000111110…
…11101000010011
312220210012220000
411003323220103
5133214314010
612232021043
72050531500
oct503735023
9186705800
1084916755
1143a2a240
1224531783
1314792301
14b3c64a7
1576c57c0
hex50fba13

84916755 has 120 divisors (see below), whose sum is σ = 193667760. Its totient is φ = 35199360.

The previous prime is 84916723. The next prime is 84916789. The reversal of 84916755 is 55761948.

It is not a de Polignac number, because 84916755 - 25 = 84916723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 84916755.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 218101 + ... + 218489.

It is an arithmetic number, because the mean of its divisors is an integer number (1613898).

Almost surely, 284916755 is an apocalyptic number.

84916755 is an abundant number, since it is smaller than the sum of its proper divisors (108751005).

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

84916755 is a wasteful number, since it uses less digits than its factorization.

84916755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 84916755 is about 9215.0287574158. The cubic root of 84916755 is about 439.5393853975.

The spelling of 84916755 in words is "eighty-four million, nine hundred sixteen thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 81 99 105 135 147 165 189 231 245 297 315 385 389 405 441 495 539 567 693 735 891 945 1155 1167 1323 1485 1617 1945 2079 2205 2695 2723 2835 3465 3501 3969 4279 4455 4851 5835 6237 6615 8085 8169 10395 10503 12837 13615 14553 17505 19061 19845 21395 24255 24507 29953 31185 31509 38511 40845 43659 52515 57183 64185 72765 73521 89859 95305 115533 122535 149765 157545 171549 192555 209671 218295 220563 269577 285915 346599 367605 449295 514647 577665 629013 808731 857745 1048355 1102815 1347885 1543941 1732995 1887039 2426193 2573235 3145065 4043655 5661117 7719705 9435195 12130965 16983351 28305585 84916755