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96692805 = 335111923149
BaseRepresentation
bin1011100001101…
…10101001000101
320201221111121000
411300312221011
5144223132210
613332243513
72252606136
oct560665105
9221844530
1096692805
114a642810
1228470599
13170563a1
14cbadc8d
15874eac0
hex5c36a45

96692805 has 128 divisors (see below), whose sum is σ = 207360000. Its totient is φ = 42197760.

The previous prime is 96692789. The next prime is 96692863. The reversal of 96692805 is 50829669.

It is not a de Polignac number, because 96692805 - 24 = 96692789 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 648871 + ... + 649019.

It is an arithmetic number, because the mean of its divisors is an integer number (1620000).

Almost surely, 296692805 is an apocalyptic number.

96692805 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

96692805 is the 4917-th decagonal number.

It is an amenable number.

96692805 is an abundant number, since it is smaller than the sum of its proper divisors (110667195).

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

96692805 is a wasteful number, since it uses less digits than its factorization.

96692805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 96692805 is about 9833.2499713981. The cubic root of 96692805 is about 458.9845353412.

The spelling of 96692805 in words is "ninety-six million, six hundred ninety-two thousand, eight hundred five".

Divisors: 1 3 5 9 11 15 19 23 27 33 45 55 57 69 95 99 115 135 149 165 171 207 209 253 285 297 345 437 447 495 513 621 627 745 759 855 1035 1045 1265 1311 1341 1485 1639 1881 2185 2235 2277 2565 2831 3105 3135 3427 3795 3933 4023 4807 4917 5643 6555 6705 6831 8195 8493 9405 10281 11385 11799 14155 14421 14751 17135 19665 20115 24035 24585 25479 28215 30843 31141 34155 37697 42465 43263 44253 51405 58995 65113 72105 73755 76437 92529 93423 113091 127395 129789 154215 155705 188485 195339 216315 221265 280269 325565 339273 382185 462645 467115 565455 586017 648945 716243 840807 976695 1017819 1401345 1696365 1758051 2148729 2930085 3581215 4204035 5089095 6446187 8790255 10743645 19338561 32230935 96692805