Search a number
-
+
96417282 = 23135383281
BaseRepresentation
bin1011011111100…
…11011000000010
320201102111122110
411233303120002
5144140323112
613322320150
72250350643
oct557633002
9221374573
1096417282
114a474805
1228359056
1316c8ab60
14cb3b6ca
1586e813c
hex5bf3602

96417282 has 64 divisors (see below), whose sum is σ = 214897536. Its totient is φ = 28654080.

The previous prime is 96417263. The next prime is 96417371. The reversal of 96417282 is 28271469.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 96417282.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342982 + ... + 343262.

It is an arithmetic number, because the mean of its divisors is an integer number (3357774).

Almost surely, 296417282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96417282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107448768).

96417282 is an abundant number, since it is smaller than the sum of its proper divisors (118480254).

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

96417282 is a wasteful number, since it uses less digits than its factorization.

96417282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435.

The product of its digits is 48384, while the sum is 39.

The square root of 96417282 is about 9819.2302142276. The cubic root of 96417282 is about 458.5481667754.

The spelling of 96417282 in words is "ninety-six million, four hundred seventeen thousand, two hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 53 78 83 106 159 166 249 281 318 498 562 689 843 1079 1378 1686 2067 2158 3237 3653 4134 4399 6474 7306 8798 10959 13197 14893 21918 23323 26394 29786 44679 46646 57187 69969 89358 114374 139938 171561 193609 303199 343122 387218 580827 606398 909597 1161654 1236119 1819194 2472238 3708357 7416714 16069547 32139094 48208641 96417282