Search a number
-
+
8292096 = 28325961
BaseRepresentation
bin11111101000011100000000
3120121021121200
4133220130000
54110321341
6453421200
7130324131
oct37503400
916537550
108292096
114753a7a
12293a800
131944387
14115bc88
15adbdb6
hex7e8700

8292096 has 108 divisors (see below), whose sum is σ = 24711960. Its totient is φ = 2672640.

The previous prime is 8292091. The next prime is 8292101. The reversal of 8292096 is 6902928.

It is an interprime number because it is at equal distance from previous prime (8292091) and next prime (8292101).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8292096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8292091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135906 + ... + 135966.

Almost surely, 28292096 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 8292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355980).

8292096 is an abundant number, since it is smaller than the sum of its proper divisors (16419864).

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

8292096 is a wasteful number, since it uses less digits than its factorization.

8292096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8292096 is about 2879.5999722184. The cubic root of 8292096 is about 202.4050949886.

The spelling of 8292096 in words is "eight million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 61 64 72 96 118 122 128 144 177 183 192 236 244 256 288 354 366 384 472 488 531 549 576 708 732 768 944 976 1062 1098 1152 1416 1464 1888 1952 2124 2196 2304 2832 2928 3599 3776 3904 4248 4392 5664 5856 7198 7552 7808 8496 8784 10797 11328 11712 14396 15104 15616 16992 17568 21594 22656 23424 28792 32391 33984 35136 43188 45312 46848 57584 64782 67968 70272 86376 115168 129564 135936 140544 172752 230336 259128 345504 460672 518256 691008 921344 1036512 1382016 2073024 2764032 4146048 8292096