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96563124 = 22337271257
BaseRepresentation
bin1011100000101…
…10111110110100
320201200220201000
411300112332310
5144210004444
613325403300
72251526100
oct560267664
9221626630
1096563124
114a564339
1228409530
131700c358
14cb78900
158726469
hex5c16fb4

96563124 has 144 divisors (see below), whose sum is σ = 296472960. Its totient is φ = 27095040.

The previous prime is 96563123. The next prime is 96563143. The reversal of 96563124 is 42136569.

It is a happy number.

96563124 is a `hidden beast` number, since 96 + 563 + 1 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96563123) 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, 375604 + ... + 375860.

It is an arithmetic number, because the mean of its divisors is an integer number (2058840).

Almost surely, 296563124 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 96563124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148236480).

96563124 is an abundant number, since it is smaller than the sum of its proper divisors (199909836).

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

96563124 is a wasteful number, since it uses less digits than its factorization.

96563124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 96563124 is about 9826.6537539490. The cubic root of 96563124 is about 458.7792522188.

The spelling of 96563124 in words is "ninety-six million, five hundred sixty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 71 84 98 108 126 142 147 189 196 213 252 257 284 294 378 426 441 497 514 588 639 756 771 852 882 994 1028 1278 1323 1491 1542 1764 1799 1917 1988 2313 2556 2646 2982 3084 3479 3598 3834 4473 4626 5292 5397 5964 6939 6958 7196 7668 8946 9252 10437 10794 12593 13419 13878 13916 16191 17892 18247 20874 21588 25186 26838 27756 31311 32382 36494 37779 41748 48573 50372 53676 54741 62622 64764 72988 75558 93933 97146 109482 113337 125244 127729 151116 164223 187866 194292 218964 226674 255458 328446 340011 375732 383187 453348 492669 510916 656892 680022 766374 894103 985338 1149561 1360044 1532748 1788206 1970676 2299122 2682309 3448683 3576412 4598244 5364618 6897366 8046927 10729236 13794732 16093854 24140781 32187708 48281562 96563124