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96074784 = 25321367383
BaseRepresentation
bin1011011100111…
…11110000100000
320200210002211100
411232133300200
5144043343114
613311114400
72244423261
oct556376040
9220702740
1096074784
114a260453
1228212a00
1316b9acb0
14ca8c968
15867b909
hex5b9fc20

96074784 has 144 divisors (see below), whose sum is σ = 299400192. Its totient is φ = 29044224.

The previous prime is 96074731. The next prime is 96074809. The reversal of 96074784 is 48747069.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250657 + ... + 251039.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 296074784 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 96074784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096).

96074784 is an abundant number, since it is smaller than the sum of its proper divisors (203325408).

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

96074784 is a wasteful number, since it uses less digits than its factorization.

96074784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 96074784 is about 9801.7745332159. The cubic root of 96074784 is about 458.0045638136.

The spelling of 96074784 in words is "ninety-six million, seventy-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 234 268 288 312 383 402 416 468 536 603 624 766 804 871 936 1072 1149 1206 1248 1532 1608 1742 1872 2144 2298 2412 2613 3064 3216 3447 3484 3744 4596 4824 4979 5226 6128 6432 6894 6968 7839 9192 9648 9958 10452 12256 13788 13936 14937 15678 18384 19296 19916 20904 25661 27576 27872 29874 31356 36768 39832 41808 44811 51322 55152 59748 62712 76983 79664 83616 89622 102644 110304 119496 125424 153966 159328 179244 205288 230949 238992 250848 307932 333593 358488 410576 461898 477984 615864 667186 716976 821152 923796 1000779 1231728 1334372 1433952 1847592 2001558 2463456 2668744 3002337 3695184 4003116 5337488 6004674 7390368 8006232 10674976 12009348 16012464 24018696 32024928 48037392 96074784