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96051564 = 223272173203
BaseRepresentation
bin1011011100110…
…10000101101100
320200201220222100
411232122011230
5144042122224
613310415100
72244265500
oct556320554
9220656870
1096051564
114a244a64
1228201490
1316b9055b
14ca84300
158674ac9
hex5b9a16c

96051564 has 108 divisors (see below), whose sum is σ = 299144664. Its totient is φ = 25820928.

The previous prime is 96051533. The next prime is 96051577. The reversal of 96051564 is 46515069.

96051564 is a `hidden beast` number, since 96 + 0 + 5 + 1 + 564 = 666.

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28387 + ... + 31589.

It is an arithmetic number, because the mean of its divisors is an integer number (2769858).

Almost surely, 296051564 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 96051564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149572332).

96051564 is an abundant number, since it is smaller than the sum of its proper divisors (203093100).

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

96051564 is a wasteful number, since it uses less digits than its factorization.

96051564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 96051564 is about 9800.5899822409. The cubic root of 96051564 is about 457.9676629661.

The spelling of 96051564 in words is "ninety-six million, fifty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3203 3332 4284 4998 6406 7497 9609 9996 12812 14994 19218 22421 28827 29988 38436 44842 54451 57654 67263 89684 108902 115308 134526 156947 163353 201789 217804 269052 313894 326706 381157 403578 470841 490059 627788 653412 762314 807156 941682 980118 1143471 1412523 1524628 1883364 1960236 2286942 2668099 2825046 3430413 4573884 5336198 5650092 6860826 8004297 10672396 13721652 16008594 24012891 32017188 48025782 96051564