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96537441 = 371113173161
BaseRepresentation
bin1011100000100…
…00101101100001
320201122121110210
411300100231201
5144203144231
613325044333
72251361160
oct560205541
9221577423
1096537441
114a547010
12283b66a9
1317000760
14cb6d3d7
15871da46
hex5c10b61

96537441 has 128 divisors (see below), whose sum is σ = 191987712. Its totient is φ = 41472000.

The previous prime is 96537439. The next prime is 96537443. The reversal of 96537441 is 14473569.

It is an interprime number because it is at equal distance from previous prime (96537439) and next prime (96537443).

It is not a de Polignac number, because 96537441 - 21 = 96537439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 96537441.

It is not an unprimeable number, because it can be changed into a prime (96537443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1582551 + ... + 1582611.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 296537441 is an apocalyptic number.

96537441 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

96537441 is the 5673-rd octagonal number.

It is an amenable number.

96537441 is a deficient number, since it is larger than the sum of its proper divisors (95450271).

96537441 is a wasteful number, since it uses less digits than its factorization.

96537441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 90720, while the sum is 39.

The square root of 96537441 is about 9825.3468641061. The cubic root of 96537441 is about 458.7385746053.

The spelling of 96537441 in words is "ninety-six million, five hundred thirty-seven thousand, four hundred forty-one".

Divisors: 1 3 7 11 13 17 21 31 33 39 51 61 77 91 93 119 143 183 187 217 221 231 273 341 357 403 427 429 527 561 651 663 671 793 1001 1023 1037 1209 1281 1309 1547 1581 1891 2013 2379 2387 2431 2821 3003 3111 3689 3927 4433 4641 4697 5551 5673 5797 6851 7161 7259 7293 8463 8723 11067 11407 13237 13299 13481 14091 16653 17017 17391 20553 20801 21777 24583 26169 31031 32147 34221 39711 40443 40579 47957 51051 61061 62403 73749 75361 79849 93093 94367 96441 121737 143871 145607 148291 172081 183183 225029 226083 239547 270413 283101 353617 417911 436821 444873 516243 527527 675087 811239 1038037 1060851 1253733 1582581 1892891 2475319 2925377 3114111 4597021 5678673 7425957 8776131 13791063 32179147 96537441