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81619965 = 32573747149
BaseRepresentation
bin1001101110101…
…10101111111101
312200120201112200
410313112233331
5131343314330
612033222113
72010521040
oct467265775
9180521480
1081619965
1142088319
1223401939
1313ba984b
14aba8c57
157273a60
hex4dd6bfd

81619965 has 96 divisors (see below), whose sum is σ = 170726400. Its totient is φ = 35292672.

The previous prime is 81619961. The next prime is 81619969. The reversal of 81619965 is 56991618.

It is an interprime number because it is at equal distance from previous prime (81619961) and next prime (81619969).

It is not a de Polignac number, because 81619965 - 22 = 81619961 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 81619965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81619961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547711 + ... + 547859.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 281619965 is an apocalyptic number.

It is an amenable number.

81619965 is an abundant number, since it is smaller than the sum of its proper divisors (89106435).

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

81619965 is a wasteful number, since it uses less digits than its factorization.

81619965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 81619965 is about 9034.3768462468. The cubic root of 81619965 is about 433.7759484735.

The spelling of 81619965 in words is "eighty-one million, six hundred nineteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 47 63 105 111 141 149 185 235 259 315 329 333 423 447 555 705 745 777 987 1043 1295 1341 1645 1665 1739 2115 2235 2331 2961 3129 3885 4935 5215 5217 5513 6705 7003 8695 9387 11655 12173 14805 15645 15651 16539 21009 26085 27565 35015 36519 38591 46935 49021 49617 60865 63027 78255 82695 105045 109557 115773 147063 182595 192955 245105 248085 259111 315135 347319 441189 547785 578865 735315 777333 1295555 1736595 1813777 2205945 2331999 3886665 5441331 9068885 11659995 16323993 27206655 81619965