Search a number
-
+
86048226 = 232111989257
BaseRepresentation
bin1010010000011…
…11110111100010
312222220200222100
411020033313202
5134012020401
612312151230
72063253315
oct510176742
9188820870
1086048226
1144632340
1224998516
1314a9a314
14b5dc97c
15784ab86
hex520fde2

86048226 has 96 divisors (see below), whose sum is σ = 217339200. Its totient is φ = 24330240.

The previous prime is 86048201. The next prime is 86048233. The reversal of 86048226 is 62284068.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334690 + ... + 334946.

It is an arithmetic number, because the mean of its divisors is an integer number (2263950).

Almost surely, 286048226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86048226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108669600).

86048226 is an abundant number, since it is smaller than the sum of its proper divisors (131290974).

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

86048226 is a wasteful number, since it uses less digits than its factorization.

86048226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86048226 is about 9276.2183027352. The cubic root of 86048226 is about 441.4829885022.

The spelling of 86048226 in words is "eighty-six million, forty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 89 99 114 171 178 198 209 257 267 342 418 514 534 627 771 801 979 1254 1542 1602 1691 1881 1958 2313 2827 2937 3382 3762 4626 4883 5073 5654 5874 8481 8811 9766 10146 14649 15219 16962 17622 18601 22873 25443 29298 30438 37202 43947 45746 50886 53713 55803 68619 87894 107426 111606 137238 161139 167409 205857 251603 322278 334818 411714 434587 483417 503206 754809 869174 966834 1303761 1509618 2264427 2607522 3911283 4528854 4780457 7822566 9560914 14341371 28682742 43024113 86048226