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996192 = 25331153
BaseRepresentation
bin11110011001101100000
31212121112000
43303031200
5223334232
633204000
711316231
oct3631540
91777460
10996192
116204aa
12400600
1328b582
141bd088
1514a27c
hexf3360

996192 has 48 divisors (see below), whose sum is σ = 2908080. Its totient is φ = 331776.

The previous prime is 996187. The next prime is 996197. The reversal of 996192 is 291699.

996192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (996187) and next prime (996197).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (60585).

2996192 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 996192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454040).

996192 is an abundant number, since it is smaller than the sum of its proper divisors (1911888).

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

996192 is a wasteful number, since it uses less digits than its factorization.

996192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1158 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 996192 is about 998.0941839326. The cubic root of 996192 is about 99.8729052042.

996192 divided by its sum of digits (36) gives a palindrome (27672).

The spelling of 996192 in words is "nine hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1153 2306 3459 4612 6918 9224 10377 13836 18448 20754 27672 31131 36896 41508 55344 62262 83016 110688 124524 166032 249048 332064 498096 996192