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97665282 = 2321113191997
BaseRepresentation
bin1011101001001…
…00000100000010
320210202220120200
411310210010002
5200000242112
613405150030
72264066301
oct564440402
9223686520
1097665282
1150147410
122885b316
1317306c10
14cd84438
158892cdc
hex5d24102

97665282 has 96 divisors (see below), whose sum is σ = 261817920. Its totient is φ = 25868160.

The previous prime is 97665277. The next prime is 97665317. The reversal of 97665282 is 28256679.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47908 + ... + 49904.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 297665282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97665282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130908960).

97665282 is an abundant number, since it is smaller than the sum of its proper divisors (164152638).

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

97665282 is a wasteful number, since it uses less digits than its factorization.

97665282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2045 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 97665282 is about 9882.5746645295. The cubic root of 97665282 is about 460.5181338727.

The spelling of 97665282 in words is "ninety-seven million, six hundred sixty-five thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 286 342 418 429 494 627 741 858 1254 1287 1482 1881 1997 2223 2574 2717 3762 3994 4446 5434 5991 8151 11982 16302 17973 21967 24453 25961 35946 37943 43934 48906 51922 65901 75886 77883 113829 131802 155766 197703 227658 233649 285571 341487 395406 417373 467298 493259 571142 682974 834746 856713 986518 1252119 1479777 1713426 2504238 2570139 2959554 3756357 4439331 5140278 5425849 7512714 8878662 10851698 16277547 32555094 48832641 97665282