Search a number
-
+
92496 = 2434147
BaseRepresentation
bin10110100101010000
311200212210
4112211100
510424441
61552120
7533445
oct264520
9150783
1092496
1163548
1245640
1333141
14259cc
151c616
hex16950

92496 has 40 divisors (see below), whose sum is σ = 249984. Its totient is φ = 29440.

The previous prime is 92489. The next prime is 92503. The reversal of 92496 is 69429.

92496 = 262 + 272 + ... + 662.

It is an interprime number because it is at equal distance from previous prime (92489) and next prime (92503).

It is a plaindrome in base 14.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

92496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1945 + ... + 1991.

292496 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 92496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

92496 is an abundant number, since it is smaller than the sum of its proper divisors (157488).

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

92496 is a wasteful number, since it uses less digits than its factorization.

92496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 92496 is about 304.1315504843. The cubic root of 92496 is about 45.2245565783.

The spelling of 92496 in words is "ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 47 48 82 94 123 141 164 188 246 282 328 376 492 564 656 752 984 1128 1927 1968 2256 3854 5781 7708 11562 15416 23124 30832 46248 92496