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82730655 = 32571923601
BaseRepresentation
bin1001110111001…
…01111010011111
312202200011010100
410323211322133
5132134340110
612113112143
72023125150
oct473457237
9182604110
1082730655
1142776847
1223858653
13141a8267
14adb7927
1573e2bc0
hex4ee5e9f

82730655 has 96 divisors (see below), whose sum is σ = 180311040. Its totient is φ = 34214400.

The previous prime is 82730651. The next prime is 82730663. The reversal of 82730655 is 55603728.

It is not a de Polignac number, because 82730655 - 22 = 82730651 is a prime.

It is a super-2 number, since 2×827306552 = 13688722553458050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82730651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137355 + ... + 137955.

It is an arithmetic number, because the mean of its divisors is an integer number (1878240).

Almost surely, 282730655 is an apocalyptic number.

82730655 is an abundant number, since it is smaller than the sum of its proper divisors (97580385).

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

82730655 is a wasteful number, since it uses less digits than its factorization.

82730655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 658 counting only the distinct ones).

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

The square root of 82730655 is about 9095.6393398155. The cubic root of 82730655 is about 435.7347076593.

The spelling of 82730655 in words is "eighty-two million, seven hundred thirty thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 23 35 45 57 63 69 95 105 115 133 161 171 207 285 315 345 399 437 483 601 665 805 855 1035 1197 1311 1449 1803 1995 2185 2415 3005 3059 3933 4207 5409 5985 6555 7245 9015 9177 11419 12621 13823 15295 19665 21035 27045 27531 34257 37863 41469 45885 57095 63105 69115 79933 96761 102771 124407 137655 171285 189315 207345 239799 262637 290283 399665 483805 513855 622035 719397 787911 870849 1198995 1313185 1451415 1838459 2363733 3596985 3939555 4354245 5515377 9192295 11818665 16546131 27576885 82730655