Search a number
-
+
96773568 = 2633171229
BaseRepresentation
bin1011100010010…
…10010111000000
320202002121101020
411301022113000
5144233223233
613334105440
72253363453
oct561122700
9222077336
1096773568
114a698461
12284ab280
1317084088
14cbd149a
1587689b3
hex5c4a5c0

96773568 has 112 divisors (see below), whose sum is σ = 269199360. Its totient is φ = 30643200.

The previous prime is 96773561. The next prime is 96773569. The reversal of 96773568 is 86537769.

Its product of digits (1905120) is a multiple of the sum of its prime divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 96773568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96773561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422478 + ... + 422706.

Almost surely, 296773568 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 96773568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134599680).

96773568 is an abundant number, since it is smaller than the sum of its proper divisors (172425792).

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

96773568 is a wasteful number, since it uses less digits than its factorization.

96773568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 96773568 is about 9837.3557422714. The cubic root of 96773568 is about 459.1122892527.

The spelling of 96773568 in words is "ninety-six million, seven hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 71 93 96 124 142 186 192 213 229 248 284 372 426 458 496 568 687 744 852 916 992 1136 1374 1488 1704 1832 1984 2201 2272 2748 2976 3408 3664 4402 4544 5496 5952 6603 6816 7099 7328 8804 10992 13206 13632 14198 14656 16259 17608 21297 21984 26412 28396 32518 35216 42594 43968 48777 52824 56792 65036 70432 85188 97554 105648 113584 130072 140864 170376 195108 211296 227168 260144 340752 390216 422592 454336 504029 520288 681504 780432 1008058 1040576 1363008 1512087 1560864 2016116 3024174 3121728 4032232 6048348 8064464 12096696 16128928 24193392 32257856 48386784 96773568