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96566742 = 2352353163
BaseRepresentation
bin1011100000101…
…11110111010110
320201201002200000
411300113313112
5144210113432
613325432130
72251542456
oct560276726
9221632600
1096566742
114a567028
122840b646
1317010bac
14cb79d66
15872757c
hex5c17dd6

96566742 has 96 divisors (see below), whose sum is σ = 232098048. Its totient is φ = 30023136.

The previous prime is 96566731. The next prime is 96566747. The reversal of 96566742 is 24766569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96566747) 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, 592353 + ... + 592515.

It is an arithmetic number, because the mean of its divisors is an integer number (2417688).

Almost surely, 296566742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96566742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116049024).

96566742 is an abundant number, since it is smaller than the sum of its proper divisors (135531306).

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

96566742 is a wasteful number, since it uses less digits than its factorization.

96566742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 96566742 is about 9826.8378433757. The cubic root of 96566742 is about 458.7849819513.

The spelling of 96566742 in words is "ninety-six million, five hundred sixty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 81 106 138 159 162 163 207 243 318 326 414 477 486 489 621 954 978 1219 1242 1431 1467 1863 2438 2862 2934 3657 3726 3749 4293 4401 5589 7314 7498 8586 8639 8802 10971 11178 11247 12879 13203 17278 21942 22494 25758 25917 26406 32913 33741 39609 51834 65826 67482 77751 79218 98739 101223 155502 197478 198697 202446 233253 296217 303669 397394 466506 592434 596091 607338 699759 911007 1192182 1399518 1788273 1822014 2099277 3576546 4198554 5364819 10729638 16094457 32188914 48283371 96566742