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96409764 = 22351171127
BaseRepresentation
bin1011011111100…
…01100010100100
320201102010100000
411233301202210
5144140103024
613322221300
72250320013
oct557614244
9221363300
1096409764
114a46a0a0
1228354830
1316c875c9
14cb38a7a
1586e5cc9
hex5bf18a4

96409764 has 144 divisors (see below), whose sum is σ = 281788416. Its totient is φ = 28576800.

The previous prime is 96409763. The next prime is 96409769. The reversal of 96409764 is 46790469.

It is not an unprimeable number, because it can be changed into a prime (96409763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759069 + ... + 759195.

It is an arithmetic number, because the mean of its divisors is an integer number (1956864).

Almost surely, 296409764 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 96409764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208).

96409764 is an abundant number, since it is smaller than the sum of its proper divisors (185378652).

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

96409764 is a wasteful number, since it uses less digits than its factorization.

96409764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 96409764 is about 9818.8473865317. The cubic root of 96409764 is about 458.5362482526.

The spelling of 96409764 in words is "ninety-six million, four hundred nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 81 99 108 127 132 142 162 198 213 243 254 284 297 324 381 396 426 486 508 594 639 762 781 852 891 972 1143 1188 1278 1397 1524 1562 1782 1917 2286 2343 2556 2673 2794 3124 3429 3564 3834 4191 4572 4686 5346 5588 5751 6858 7029 7668 8382 9017 9372 10287 10692 11502 12573 13716 14058 16764 17253 18034 20574 21087 23004 25146 27051 28116 30861 34506 36068 37719 41148 42174 50292 54102 61722 63261 69012 75438 81153 84348 99187 108204 113157 123444 126522 150876 162306 189783 198374 226314 243459 253044 297561 324612 339471 379566 396748 452628 486918 595122 678942 730377 759132 892683 973836 1190244 1357884 1460754 1785366 2191131 2678049 2921508 3570732 4382262 5356098 8034147 8764524 10712196 16068294 24102441 32136588 48204882 96409764