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83493315 = 3351943757
BaseRepresentation
bin1001111101000…
…00000111000011
312211002220022000
410332200013003
5132333241230
612141315043
72032452513
oct476400703
9184086260
1083493315
1143147844
1223b65a83
13143b4439
14b135843
1574e3b60
hex4fa01c3

83493315 has 64 divisors (see below), whose sum is σ = 160089600. Its totient is φ = 41150592.

The previous prime is 83493313. The next prime is 83493317. The reversal of 83493315 is 51339438.

It is an interprime number because it is at equal distance from previous prime (83493313) and next prime (83493317).

It is not a de Polignac number, because 83493315 - 21 = 83493313 is a prime.

It is a super-2 number, since 2×834933152 = 13942267299378450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83493315.

It is not an unprimeable number, because it can be changed into a prime (83493313) 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, 109917 + ... + 110673.

It is an arithmetic number, because the mean of its divisors is an integer number (2501400).

Almost surely, 283493315 is an apocalyptic number.

83493315 is a deficient number, since it is larger than the sum of its proper divisors (76596285).

83493315 is a wasteful number, since it uses less digits than its factorization.

83493315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 83493315 is about 9137.4676470015. The cubic root of 83493315 is about 437.0695674078.

It can be divided in two parts, 8349 and 3315, that added together give a square (11664 = 1082).

The spelling of 83493315 in words is "eighty-three million, four hundred ninety-three thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 19 27 43 45 57 95 129 135 171 215 285 387 513 645 757 817 855 1161 1935 2271 2451 2565 3785 4085 5805 6813 7353 11355 12255 14383 20439 22059 32551 34065 36765 43149 71915 97653 102195 110295 129447 162755 215745 292959 388341 488265 618469 647235 878877 1464795 1855407 1941705 3092345 4394385 5566221 9277035 16698663 27831105 83493315