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96690048 = 2737132767
BaseRepresentation
bin1011100001101…
…01111110000000
320201221100210220
411300311332000
5144223040143
613332223040
72252565120
oct560657600
9221840726
1096690048
114a640734
122846aa80
1317055060
14cbacc80
15874dd83
hex5c35f80

96690048 has 128 divisors (see below), whose sum is σ = 316216320. Its totient is φ = 25491456.

The previous prime is 96690043. The next prime is 96690049. The reversal of 96690048 is 84009669.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 96689991 and 96690009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96690043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33561 + ... + 36327.

It is an arithmetic number, because the mean of its divisors is an integer number (2470440).

Almost surely, 296690048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158108160).

96690048 is an abundant number, since it is smaller than the sum of its proper divisors (219526272).

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

96690048 is a wasteful number, since it uses less digits than its factorization.

96690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 96690048 is about 9833.1097827696. The cubic root of 96690048 is about 458.9801729608.

The spelling of 96690048 in words is "ninety-six million, six hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2767 2912 4368 4992 5534 5824 8301 8736 11068 11648 16602 17472 19369 22136 33204 34944 35971 38738 44272 58107 66408 71942 77476 88544 107913 116214 132816 143884 154952 177088 215826 232428 251797 265632 287768 309904 354176 431652 464856 503594 531264 575536 619808 755391 863304 929712 1007188 1062528 1151072 1239616 1510782 1726608 1859424 2014376 2302144 2479232 3021564 3453216 3718848 4028752 4604288 6043128 6906432 7437696 8057504 12086256 13812864 16115008 24172512 32230016 48345024 96690048